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Paper Citation Record · LEDGER

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type

As of 8 August 2026, this Paper Citation Record lists 87 of 87 outbound references and 0 inbound Pith citation observations for arXiv:2608.04422.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2608.04422 v1

Coverage vector

measured 87 of 87 reference resolution

Typed states for the displayed outbound observations.

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

87 of 87 outbound references displayed

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External citation measurements

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Outbound references

Observation f58f3c22-257f-404f-b09c-c4bf942a7572 · outbound

This paper cites Aubin, Probl` emes isop´ erim´ etriques et espaces de Sobolev,J.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Aubin, Probl` emes isop´ erim´ etriques et espaces de Sobolev,J

Reference 1

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Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Unresolved cited work

Reference 2

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Observation f884e6b3-e2db-4683-b0cf-618f6354e45d · outbound

This paper cites Bianchi and H.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Bianchi and H

Reference 3

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Observation 8fcddf29-8824-48ce-8250-d05151bbd405 · outbound

This paper cites Caffarelli, B.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Caffarelli, B

Reference 4

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This paper cites Caffarelli, P.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Caffarelli, P

Reference 5

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This paper cites Caffarelli, L.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Caffarelli, L

Reference 6

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This paper cites Caffarelli, L.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Caffarelli, L

Reference 7

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Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Unresolved cited work

Reference 8

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Reference 9

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Reference 10

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Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Unresolved cited work

Reference 11

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Reference 12

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Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Unresolved cited work

Reference 13

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This paper cites Chen and C.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Chen and C

Reference 14

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This paper cites Chou and X.-J.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Chou and X.-J

Reference 15

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Observation 5e0b8374-686c-4a16-b058-1c354514337a · outbound

This paper cites Liouville theorems for conformally invariant fully nonlinear equations. I.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Liouville theorems for conformally invariant fully nonlinear equations. I

Reference 16

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Observation f1131329-f184-446a-95f5-18d726e39cb8 · outbound

This paper cites Ciraolo, A.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Ciraolo, A

Reference 17

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Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Unresolved cited work

Reference 18

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Reference 19

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This paper cites Non-radial solutions for the quasi-linear H\'enon type $N$-Laplacian Liouville equation.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Non-radial solutions for the quasi-linear H\'enon type $N$-Laplacian Liouville equation

Reference 20

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Reference 21

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Reference 22

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Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Dai and G

Reference 23

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Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Dai and G

Reference 24

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Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Dai and G

Reference 25

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Observation 5399c29f-5d34-4eda-8815-f4e3bfa5df3f · outbound

This paper cites Damascelli, S.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Damascelli, S

Reference 26

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This paper cites Esposito, A classification result for the quasi-linear Liouville equation,Ann.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Esposito, A classification result for the quasi-linear Liouville equation,Ann

Reference 27

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Reference 28

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Observation 55ec3ec9-f3ef-4cd9-8906-4a2e86854ca4 · outbound

This paper cites Figalli and Y.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Figalli and Y

Reference 29

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This paper cites G ˚ arding, An inequality for hyperbolic polynomials,J.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type G ˚ arding, An inequality for hyperbolic polynomials,J

Reference 30

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Observation db796f1d-fa3b-466b-a660-f5d0bb145f7d · outbound

This paper cites Ghoussoub and C.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Ghoussoub and C

Reference 31

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This paper cites Gidas, W.-M.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Gidas, W.-M

Reference 32

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This paper cites Gidas and J.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Gidas and J

Reference 33

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Unresolved cited work

Reference 34

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Observation aa326ec4-72ae-4de7-b764-09ac67943278 · outbound

This paper cites Guan and X.-N.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Guan and X.-N

Reference 35

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Observation e8648f5e-bd01-4cda-bd50-6449eb42112a · outbound

This paper cites Guan, The Dirichlet problem for a class of fully nonlinear elliptic equations,Comm.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Guan, The Dirichlet problem for a class of fully nonlinear elliptic equations,Comm

Reference 36

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raw_fallback, observed 2026-08-07T00:27:46.999115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.070249Z digest=sha256:ec26b916428315663fc3efecac6f3a73bc67d8b61b86565d59d5b4294f9fe846

Observation 12d1f79b-d57a-4a7d-8a8c-f11cf6322b39 · outbound

This paper cites Guan, X.-N.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Guan, X.-N

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:27:46.988029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.073794Z digest=sha256:53d2c02684361d87372aaf5810add899443cd8145c1c57e30b628646f1a9f256

Observation 0fad8075-cdb8-4876-be4c-734834ee45b6 · outbound

This paper cites an unresolved cited work.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:27:46.976651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.077357Z digest=sha256:8c8f8fcb95328a2e5109ede7df915287b2005ddf3d7976bab36e80ff38f61bd5

Observation 115d0b78-993b-41bb-b1d6-8c413e15c601 · outbound

This paper cites Gui and A.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Gui and A

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:27:46.964949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.081145Z digest=sha256:0c4df7c17a2268a02787b3edcf17f90a6dcd7c8a7e74f08652c0f5ae33679f20

Observation b528089f-fb5a-4c69-bf5e-2fb4ff9e5600 · outbound

This paper cites an unresolved cited work.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:27:46.954212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.085015Z digest=sha256:6c3ab8ae8f30dcd63202f8391455d329e9daf05a5da47e3dd37bc04c7bb537f1

Observation 53ef9c73-2705-4b63-9388-031c29f08758 · outbound

This paper cites an unresolved cited work.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:27:46.943182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.088774Z digest=sha256:eff23e97203679d544c4e0aad5e1461ac938f34c4635d67b0d6a3ec366804ef2

Observation a62fb3a8-a94f-456b-befc-07ac52c95f3f · outbound

This paper cites an unresolved cited work.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:27:46.931792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.092707Z digest=sha256:e42a53420233d7b7a95f8c9134e6c39a61975d38274e71a2fd8b9bc09ad31385

Observation 18d92063-1629-4d70-a7ed-a45338c104df · outbound

This paper cites Kilpel¨ ainen and J.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Kilpel¨ ainen and J

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:27:46.921893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.096644Z digest=sha256:b9ecf87d65da2a51e3a68a7e7b73759d7a10f009a986ad3d93c6b40fb6309fd3

Observation a9e2b21b-092c-4a80-8fbe-4bb93a7b6d49 · outbound

This paper cites an unresolved cited work.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:27:46.911127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.100852Z digest=sha256:c8d94413c29757de6723930601a47ecec64699eb9b48cd0a0f0a5a2c5880fcee

Observation 1b5e2c18-a011-4920-950a-9d1750b2f1e4 · outbound

This paper cites Lin, A classification of solutions of a conformally invariant fourth order equation inR n,Comment.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Lin, A classification of solutions of a conformally invariant fourth order equation inR n,Comment

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:27:46.900561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.105479Z digest=sha256:d206c962811c5da2cd343c405833edc9b2e4bfe6e7fd8118e67ff70fa78b794f

Observation 018a7260-fd8d-4781-bff5-90c34f4d5bbe · outbound

This paper cites Li and Y.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Li and Y

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:27:46.889731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.110322Z digest=sha256:5612fbcffd1c82f9e1fa4f9b00ab7fb053871aaa565cb1f50ff4957a2bc74cf6

Observation fe69d5ba-b87b-428c-8182-e85d3c691abd · outbound

This paper cites Li and Y.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Li and Y

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:27:46.879084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.114792Z digest=sha256:d73023376ff648410f0229c5fdf2209f482911b45d1c34b8fe5f6eb60a17884b

Observation fd780618-a23c-49b8-a9ce-ef8af36d7a61 · outbound

This paper cites an unresolved cited work.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:27:46.868503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.118360Z digest=sha256:c84b557a93e6c59e13fef280bb7549a0e5f21e93267447080eefa85c665eaeca

Observation 3fc2820a-f2b2-41ee-8d12-d58fbe516f22 · outbound

This paper cites Ma, and Q.-Z Ou, A Liouville theorem for a class semilinear elliptic equations on the Heisenberg group,Adv.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Ma, and Q.-Z Ou, A Liouville theorem for a class semilinear elliptic equations on the Heisenberg group,Adv

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:27:46.858418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.121897Z digest=sha256:824a44b967df222b2c0f7d9dd8c2b07a067f0a4fd3e444ab74b4f3a912b0152c

Observation b0beacbc-b714-4b18-b63b-c316046115bf · outbound

This paper cites Jerison-Lee identity and Semi-linear subelliptic equation on CR manifold.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Jerison-Lee identity and Semi-linear subelliptic equation on CR manifold

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-07T00:27:46.125365Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:27:46.125365Z digest=sha256:c37903eed605bccf2d3444d7fea36faf72b6888b385ca3fd5437f143618a4da1

Observation 82c07d74-53f6-4c04-b18b-212a8db46d75 · outbound

This paper cites Ma and G.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Ma and G

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:27:46.847831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.129284Z digest=sha256:020ca54921946b508a2108246a50f589d22d6277ba98635a8bbf5f75aa83c7fa

Observation c090a3ae-b236-429b-b8b5-c5c7f9fe7e05 · outbound

This paper cites The exterior Dirichlet problem for the homogeneous $k$-Hessian equation.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type The exterior Dirichlet problem for the homogeneous $k$-Hessian equation

Reference 52

Resolution
verified exact
local_arxiv, observed 2026-08-07T00:27:46.319180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.132999Z digest=sha256:da29c59206521ce5b1fbf35e3cabf08aecb54e4cb0bcc31c0828f13575249aff

Observation 8ab59231-fcee-4691-a6d8-2b233309d12c · outbound

This paper cites Martinazzi, Classification of solutions to the higher order Liouville’s equation onR 2m,Math.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Martinazzi, Classification of solutions to the higher order Liouville’s equation onR 2m,Math

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:27:46.835855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.136920Z digest=sha256:5f10e38313de97a24c9209881414bc044dfd8c7a09304032cab7324d866f8767

Observation 9063490c-5e11-43ad-99cd-24d8a3261f2a · outbound

This paper cites an unresolved cited work.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:27:46.824741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.140630Z digest=sha256:2bc057124019ad5a83b1251bff794bafd9365693523575dc15a1a8e0d8155570

Observation 232235a8-7504-420e-a339-a2d8094f2c65 · outbound

This paper cites an unresolved cited work.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:27:46.813785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.143890Z digest=sha256:02b8e7a6c0258298e00d465ba42a943f5368215a965d7876e396ed835766f250

Observation 90023978-8d1c-425c-92f2-b89e6d3f1fcc · outbound

This paper cites Ou, Nonexistence results for Hessian inequality,Methods Appl.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Ou, Nonexistence results for Hessian inequality,Methods Appl

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:27:46.802844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.148218Z digest=sha256:9f2b399c2dc4267bfa689b284ce0a076029f63d2d6822e4fd4d9e7b082753a9e

Observation 2a37a5f5-dfd7-4265-85bb-6fa311c32f88 · outbound

This paper cites Ou, On the classification of entire solutions to the criticalp-Laplace equation,Math.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Ou, On the classification of entire solutions to the criticalp-Laplace equation,Math

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:27:46.791728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.151568Z digest=sha256:bec444e7b5b9dce01666d82e11da535f85651d2bd8ebf5175a4416f342f95c8c

Observation a3fce4d0-7142-4ff7-b3e4-c3f5689117bb · outbound

This paper cites Pol´ aˇ cik, P.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Pol´ aˇ cik, P

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:27:46.779681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.155799Z digest=sha256:af3877e7f6e6d159be95239056bc3ae06d0fbf7625724486b11cd0d9ed095b13

Observation 631bc139-968e-4b75-a377-9a867317c8c0 · outbound

This paper cites an unresolved cited work.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Unresolved cited work

Reference 59

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:27:46.768351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.159520Z digest=sha256:cef3d8de36aa587ceb3a5aafcc60ce41ce794b2c7f1007b2dffcb68e109d2995

Observation 391a052e-ca1a-4990-9a03-5d5c37a83ef8 · outbound

This paper cites an unresolved cited work.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Unresolved cited work

Reference 60

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:27:46.756655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.163220Z digest=sha256:c20b63b7401f3bdf7af71d79c6674a90f87958406437c458155efb65f2684bbb

Observation e9bbce2d-6cf7-43c0-b39b-dc673f134500 · outbound

This paper cites an unresolved cited work.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Unresolved cited work

Reference 61

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:27:46.743482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.167026Z digest=sha256:d88a39bf9f950750a13f4546003f39c5fde002666a5269a989cadcbecf2a11b3

Observation 158d17b5-1307-4ce2-9603-ad35d057fd9e · outbound

This paper cites an unresolved cited work.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Unresolved cited work

Reference 62

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:27:46.731714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.171310Z digest=sha256:5aab700c672afcc280f9d787f566e7ce882e37eb04bd99c1f0a5de31be38d2bb

Observation 30ec15af-c072-4eda-a836-caf20f42dd11 · outbound

This paper cites Sciunzi, Classification of positiveD 1,p(RN )-solutions to the criticalp-Laplace equation inR N ,Adv.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Sciunzi, Classification of positiveD 1,p(RN )-solutions to the criticalp-Laplace equation inR N ,Adv

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:27:46.719818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.175065Z digest=sha256:8bd5c97e75926db05e7b5e640499e43db0a962021a2ab81d853074b576983215

Observation dacd8b7b-f378-43ee-a83c-d1e9dedc1d01 · outbound

This paper cites Serrin and H.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Serrin and H

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:27:46.708587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.179080Z digest=sha256:9464e44478e003fccd0402b4a9bbdcec793d2607dce1d4be19f81ea9b15ead69

Observation 1c010ef7-3ae6-429b-9ff6-a54ada9e9843 · outbound

This paper cites Sheng, N.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Sheng, N

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:27:46.697244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.182911Z digest=sha256:a80728d79020dd1b113701e71b6e567850ffdfc170bea341bee835fad433ba34

Observation d91e8a8d-8f4d-4370-bd95-68bc5cfe1b96 · outbound

This paper cites Critical quasilinear equations on Riemannian manifolds.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Critical quasilinear equations on Riemannian manifolds

Reference 66

Resolution
unresolved
no resolver link, observed 2026-08-07T00:27:46.187279Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:27:46.187279Z digest=sha256:969f3ed217e1cb0fae303da59386468f01c4ba642eebba6a456a0868298048b5

Observation bb3d54cf-ffd0-4b73-be57-3d6ed23b31dc · outbound

This paper cites Talenti, Best constant in Sobolev inequality,Ann.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Talenti, Best constant in Sobolev inequality,Ann

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-07T00:27:46.190874Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:27:46.190874Z digest=sha256:d4ff8c131340e9b06513a88391d123ad0b6a3b1b74894b007ad73e1fd3f45ec8

Observation 1e694131-0ee6-4f2c-8a0c-f88e7efa5dbb · outbound

This paper cites Tian and X.-J.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Tian and X.-J

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:27:46.680066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.194548Z digest=sha256:8db591444fd98648ed718062dbf8b6b403e0029a755d6b1f03f9769f62a80f5f

Observation 3b12faf7-fb88-4040-8881-de188436ce41 · outbound

This paper cites an unresolved cited work.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Unresolved cited work

Reference 69

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:27:46.668459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.198863Z digest=sha256:4ac740f43d6324debd9111a9ca8432402ad6922e95a6f914eab4a8313901d01b

Observation d7bd7db1-1cf1-4b62-87d1-60248740a584 · outbound

This paper cites an unresolved cited work.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Unresolved cited work

Reference 70

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:27:46.657411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.202450Z digest=sha256:193156193c79ee8150aba88130055dc8bc62f68e48e7718662cb5f649955d568

Observation 6c40f737-8324-4276-8615-385a40f272dc · outbound

This paper cites an unresolved cited work.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Unresolved cited work

Reference 71

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:27:46.646411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.206121Z digest=sha256:20ca2e47af0bbebf2e45330778b3488837caa32a4163e0e49f357a0e70abb7ec

Observation 44728ca5-d324-4cd2-b660-fea2386977d8 · outbound

This paper cites an unresolved cited work.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Unresolved cited work

Reference 72

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:27:46.635088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation ac9dfbf2-b839-4e07-af01-77279aa2ccfd · outbound

This paper cites an unresolved cited work.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Unresolved cited work

Reference 73

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:27:46.624365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation d422ee7a-8b97-4803-ac31-32a637e432ac · outbound

This paper cites an unresolved cited work.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Unresolved cited work

Reference 74

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:27:46.612806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.217080Z digest=sha256:c9190d1e63b7fb7a1a79f4f4f164ea6270b63ad7acecd4a445f8542bd561754a

Observation 59228839-2a21-4f81-863e-4c9d73b101e7 · outbound

This paper cites an unresolved cited work.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Unresolved cited work

Reference 75

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:27:46.601952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.220390Z digest=sha256:b97132a912b038f09a27d81849949c614f9c7124fea34ee14141f81d46e06f21

Observation 8b616003-13ae-4085-8bd9-4d9196cce744 · outbound

This paper cites an unresolved cited work.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Unresolved cited work

Reference 76

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:27:46.591382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.224516Z digest=sha256:2ef24d299d9c248470028f2c780da11bfaded5e9227977bd012d57573cd0d33e

Observation 4c222847-685b-4c08-94d2-cec03e73af9c · outbound

This paper cites Tso, On symmetrization and Hessian equations,J.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Tso, On symmetrization and Hessian equations,J

Reference 77

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:27:46.580490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.228163Z digest=sha256:e77af76da4a8f67d3f143ce00db8a2435a1619b794c21ac691af6d382892ca2b

Observation d90d7765-8c27-4568-bb9e-671e58a7b1a9 · outbound

This paper cites Tso, Remarks on critical exponents for Hessian operators,Ann.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Tso, Remarks on critical exponents for Hessian operators,Ann

Reference 78

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:27:46.570021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.231919Z digest=sha256:7295b1d6f5929bf84cad95adce494538baaf2aa9ffb258dd9e446f5a0d0e0d27

Observation 4425b1bc-92b1-43cc-a9fe-39b24c2dfa6e · outbound

This paper cites an unresolved cited work.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Unresolved cited work

Reference 79

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:27:46.557522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.235618Z digest=sha256:ee779bd0b2b9faa06c74112ec20b1cc3b474a61b215dfe0a24b9de5a590580ba

Observation e043b6b5-6348-4455-b218-fdd78a43624d · outbound

This paper cites V´ etois, A priori estimates and application to the symmetry of solutions for criticalp-Laplace equations, J.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type V´ etois, A priori estimates and application to the symmetry of solutions for criticalp-Laplace equations, J

Reference 80

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:27:46.545342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.239472Z digest=sha256:973f65b8e831557673fd658185e1d3a86fb9467a0c49a7361490aaa34c379e85

Observation 5e59f1c3-9ce0-4538-86c0-55258492a031 · outbound

This paper cites an unresolved cited work.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Unresolved cited work

Reference 81

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:27:46.534131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.242995Z digest=sha256:90028225fb370dd615003b5426e75a874c9e585520289b8ca94298c80113792d

Observation d067c221-84f9-4081-a3aa-413264b9d104 · outbound

This paper cites Wang, A class of fully nonlinear elliptic equations and related functionals,Indiana Univ.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Wang, A class of fully nonlinear elliptic equations and related functionals,Indiana Univ

Reference 82

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:27:46.522416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.247318Z digest=sha256:33f583139e7b02cb185e48c7703edef2a5d32f77e6db115f7bb431cc9d20f7d3

Observation 533e0d2f-3d4d-46d7-86ca-23d14392d165 · outbound

This paper cites Wang, Thek-Hessian equation, inGeometric Analysis and PDEs, Lecture Notes in Math.1977, Springer, Dordrecht, 2009, 177–252.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Wang, Thek-Hessian equation, inGeometric Analysis and PDEs, Lecture Notes in Math.1977, Springer, Dordrecht, 2009, 177–252

Reference 83

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:27:46.510795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.252249Z digest=sha256:7ea223637d20c2455ffb11c8bde650e7d70ad2b09ee6e1ac7a9e2f038c79f7da

Observation 9567ef89-b548-4854-beb8-fa6808bb23bb · outbound

This paper cites Wang and Y.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Wang and Y

Reference 84

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:27:46.498735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.256099Z digest=sha256:146238a227488fb541d81f9b6b77f9a74fc2d40fd515c60bc188950198cbaf99

Observation f5881d4b-400a-4c52-8389-7e268eff5138 · outbound

This paper cites Wang and L.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Wang and L

Reference 85

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:27:46.487968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.260115Z digest=sha256:814e3d6ccf2a65095219ad6fa6bf972fd090ca126d10e790b063291aeff025bd

Observation 74558e03-4b43-4646-88f8-92190c745fdd · outbound

This paper cites Wei and X.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Wei and X

Reference 86

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:27:46.476652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.264789Z digest=sha256:1e28a5dabea043a6a930ba2ea104d32cfa7d7098d1435c0ee25326bf21618dc2

Observation 77870f08-bef7-426d-9b13-f56e4a1277dc · outbound

This paper cites an unresolved cited work.

Optimal Rigidity and Classification Results for the $k$-Hessian Equation of Lane--Emden Type Unresolved cited work

Reference 87

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:27:46.463982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:27:46.268841Z digest=sha256:2efa682022d6ddfbe308e177a140a9bd2c018c99f708b49287022394e7879eac

Pith citing papers

No inbound Pith citation observations are available.