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Paper Citation Record · LEDGER

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates

As of 8 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2507.16383.

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

pith.paper-citation-record.v1
2507.16383 v1

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

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measured 52 of 52 standing notices

One-hop event checks from named stored sources.

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

52 of 52 outbound references displayed

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  • verified fuzzy14
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External citation measurements

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Outbound references

Observation 4755532b-7108-49cc-b2c7-37221a1cad11 · outbound

This paper cites an unresolved cited work.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 1

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Observation e8fefe04-b599-47df-bec3-04004f21262c · outbound

This paper cites A viles and R.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates A viles and R

Reference 2

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This paper cites Berestycki and L.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Berestycki and L

Reference 3

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This paper cites Caffarelli, L.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Caffarelli, L

Reference 4

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 5

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 6

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 7

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 8

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This paper cites 2 of New Stud.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates 2 of New Stud

Reference 9

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 10

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Observation 8f0bc873-cb48-4ae0-bd99-3a6bffb436cf · outbound

This paper cites Chipot, I.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Chipot, I

Reference 11

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Observation dc4117ce-c53c-4dd1-a617-90b06efb17e5 · outbound

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

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Liouville theorems for conformally invariant fully nonlinear equations. I

Reference 12

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Observation 2cd22064-d17e-4bd4-8229-a00cca535c1c · outbound

This paper cites Liouville Theorem with Boundary Conditions from Chern--Gauss--Bonnet Formula.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Liouville Theorem with Boundary Conditions from Chern--Gauss--Bonnet Formula

Reference 13

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Observation 9bc2625c-34e5-436f-802e-f7e428621438 · outbound

This paper cites On the fully nonlinear Yamabe problem with constant boundary mean curvature. I.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates On the fully nonlinear Yamabe problem with constant boundary mean curvature. I

Reference 14

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Observation e19d2d82-698d-4a79-90cf-10aba6be7112 · outbound

This paper cites The $\sigma_k$-Loewner-Nirenberg problem on Riemannian manifolds for $k<\frac{n}{2}$.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates The $\sigma_k$-Loewner-Nirenberg problem on Riemannian manifolds for $k<\frac{n}{2}$

Reference 15

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 16

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 17

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Observation 1f9467a0-2e27-47e9-8304-3582459bf985 · outbound

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates F ang, B

Reference 18

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Observation e388374f-86ca-4143-8220-102b4138ef06 · outbound

This paper cites Ge and G.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Ge and G

Reference 19

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Gidas, W

Reference 20

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates 7 of Adv

Reference 21

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 22

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 24

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Han and W

Reference 25

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 26

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Li and Y

Reference 27

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 28

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 29

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 30

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Pure Appl

Reference 31

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 32

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This paper cites A fully nonlinear version of the Yamabe problem on locally conformally flat manifolds with umbilic boundary.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates A fully nonlinear version of the Yamabe problem on locally conformally flat manifolds with umbilic boundary

Reference 33

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 34

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Pure Appl

Reference 35

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 36

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:24:13.110266Z digest=sha256:e36cccfd9c5ba43f8c9d0aed820115151d25d7c14f070db64fb5fb93e9ef4e96

Observation 0102cc6b-b4dc-4e14-948b-1b053fefa2e0 · outbound

This paper cites an unresolved cited work.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-06T15:24:13.227141Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-06T15:24:13.227141Z digest=sha256:9a3d4e0e81b95c72025ffce2c360cf83efa1fe7130efe4b615c379530e316939

Observation a2b47a1d-9476-43be-b7b3-a456f1fd19b7 · outbound

This paper cites an unresolved cited work.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:24:18.701305Z

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=2026-08-06T15:24:13.328103Z digest=sha256:8a879c527ac7d10602a1707c5ec1fe6853dd17a07c16f36a6c3bf909fe4dc292

Observation 3666ae61-a62a-4235-a8ff-0dae9bfa66a6 · outbound

This paper cites an unresolved cited work.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:24:18.469377Z

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=2026-08-06T15:24:13.470566Z digest=sha256:f75e2dbf1968f7b7e14506b008f52be7e7dcf31429117380583615fc485541fd

Observation e8207cc9-72f3-4bb8-8d08-976f90aec95d · outbound

This paper cites Liouville , Sur l’´ equation aux diff´ erences partiellesd2 log λ dudv ± λ 2a2 = 0., Journal de Math´ ematiques Pures et Appliqu´ ees, (1853), pp.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Liouville , Sur l’´ equation aux diff´ erences partiellesd2 log λ dudv ± λ 2a2 = 0., Journal de Math´ ematiques Pures et Appliqu´ ees, (1853), pp

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:24:18.255488Z

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=2026-08-06T15:24:13.583967Z digest=sha256:6fe9d5fc527612b16050c0f8e1a41715e25799d44a910c9cc9aa88cc52e08ad0

Observation 27f64d98-0de4-448b-a450-8145374aa7e7 · outbound

This paper cites Loewner and L.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Loewner and L

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-06T15:24:13.710687Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:24:13.710687Z digest=sha256:fa6ec005b72aae2d5d1f60e21b280fe28bfe064e3c36ad06055b3be6c390b669

Observation 6fb7de03-4294-4a9f-b39c-cd56e7d8d064 · outbound

This paper cites Lou and M.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Lou and M

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:24:18.018457Z

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=2026-08-06T15:24:13.845911Z digest=sha256:d45a5b1afcc42fe12703d2211f6832d508e8267f5bd84d15ea76e138a27490dd

Observation 7b6e0a08-9e3a-42ca-a137-0c07b6c2b418 · outbound

This paper cites Obata, The conjectures on conformal transformations of Riemannian manifolds , J.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Obata, The conjectures on conformal transformations of Riemannian manifolds , J

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:24:17.805184Z

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=2026-08-06T15:24:13.969972Z digest=sha256:07b69ef354dfab231723a3e119aa866984d88f15ee3791b84f15dfd1a57f1e94

Observation c7ce22b0-e69f-4a8a-a0fa-9b11c6912f0e · outbound

This paper cites Osserman, On the inequality ∆u ≥ f (u), Pacific J.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Osserman, On the inequality ∆u ≥ f (u), Pacific J

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:24:17.529290Z

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=2026-08-06T15:24:14.092079Z digest=sha256:a14e0d837ac99e3c39153eb9d3bf63506100871ced3f9446677f7a52176c2f23

Observation c751bfd1-4daa-478f-86cd-6b9e254c6f83 · outbound

This paper cites Savin, Small perturbation solutions for elliptic equations , Comm.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Savin, Small perturbation solutions for elliptic equations , Comm

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:24:17.223389Z

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=2026-08-06T15:24:14.243653Z digest=sha256:85808e7651d561bc6a1b39c0478f54f0e83b13c31ecad23f17573e02a7dc28b6

Observation 24ce6def-cd78-46f7-9a47-7e98f0a66bd5 · outbound

This paper cites an unresolved cited work.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:24:16.988063Z

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=2026-08-06T15:24:14.440871Z digest=sha256:6c296be94ab715e521e67903c7a28cc79e41417ee0a82b33fc741f64721ee8f5

Observation 2e53f29b-76a4-40eb-9362-558c44759274 · outbound

This paper cites Serrin, A symmetry problem in potential theory , Arch.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Serrin, A symmetry problem in potential theory , Arch

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:24:16.734157Z

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=2026-08-06T15:24:14.573370Z digest=sha256:d82cbae9d3580f233f8adc80b186e83c4daa7f65f302c9e2a0550fc28e4170f7

Observation c4eea4fb-3ab5-4cc6-b9bb-a8d6b171a490 · outbound

This paper cites an unresolved cited work.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:24:16.483824Z

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=2026-08-06T15:24:14.686060Z digest=sha256:397a4e29a21f0823fbc2c8188ce5c99ec36392f4b46c05395e2d862d82485130

Observation 8f59c581-978a-455a-81e8-4a6906495b2d · outbound

This paper cites an unresolved cited work.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:24:16.252286Z

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=2026-08-06T15:24:14.792089Z digest=sha256:6c486d756b670bad887228c4bddad03abf9545ce4cc51d439f7ff48425f4e92d

Observation b1d440f3-a20a-4ddd-be10-ac50df211fc7 · outbound

This paper cites Wei , Liouville Theorem for k-curvature equation with fully nonlinear boundary in half space , https://arxiv.org/abs/2403.19268, (2024).

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Wei , Liouville Theorem for k-curvature equation with fully nonlinear boundary in half space , https://arxiv.org/abs/2403.19268, (2024)

Reference 50

Resolution
verified exact
raw_fallback, observed 2026-08-06T15:24:15.517741Z

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=2026-08-06T15:24:14.906869Z digest=sha256:fd88627323698091d29be9e039f63f587f9f161d58e904514585e4b4b044ab20

Observation e93d4aee-4739-4a08-a69f-8946903a37b6 · outbound

This paper cites The partial uniform ellipticity and prescribed problems on the conformal classes of complete metrics.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates The partial uniform ellipticity and prescribed problems on the conformal classes of complete metrics

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-06T15:24:15.011884Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:24:15.011884Z digest=sha256:a3b31bf9826009cb4fb1e157811457deb724dc3fb80b5951210fc0873dd3cf72

Observation 0d0f3d5c-db18-4529-adf5-0798654bb055 · outbound

This paper cites an unresolved cited work.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:24:15.981494Z

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=2026-08-06T15:24:15.143520Z digest=sha256:1ff340720c3f12980f1317dc30cd68d3ae4c95c5f39888f4d6c804c35bf42f8d

Pith citing papers

No inbound Pith citation observations are available.