Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ | Paper Citation Record

Observation 8cb84af0-fbac-4478-8c68-9ebef550d572 · outbound

This paper cites an unresolved cited work.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-07-08T06:44:40.378759Z

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Observation 221eec05-db3e-44b0-b266-ec6b85b1de7a · outbound

This paper cites On the anisotropic critical $p$-Laplace equation: classification, decomposition, and stability results.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ On the anisotropic critical $p$-Laplace equation: classification, decomposition, and stability results

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-07-08T06:44:40.186053Z

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Observation 29fdac60-5509-4f0b-a572-eff381065d52 · outbound

This paper cites Aubin, Probl `emes isoperimetriques et espaces de Sobolev, J.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Aubin, Probl `emes isoperimetriques et espaces de Sobolev, J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.345903Z

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Observation 2947337c-6d7c-4bbb-8b77-c2c7b25ddb14 · outbound

This paper cites Bianchi and H.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Bianchi and H

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.312778Z

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Observation e5a182cd-ed77-43d5-a905-4f71295ddd5e · outbound

This paper cites an unresolved cited work.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-07-08T06:44:40.359549Z

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Observation ea2f0dd6-c6e1-4a52-a994-0593a7718d83 · outbound

This paper cites Brezis, How to recognize constant functions.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Brezis, How to recognize constant functions

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.401979Z

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Observation 4213eafe-e883-4871-a5e3-2c905629d1a6 · outbound

This paper cites Brezis and E.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Brezis and E

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.385370Z

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Observation 3884cbe1-d312-4669-996d-5ce1e2624df1 · outbound

This paper cites Cianchi, N.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Cianchi, N

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.370311Z

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Observation 4dfe7bb3-8e04-4b8b-b897-ca5ffd8d973c · outbound

This paper cites Cianchi, E.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Cianchi, E

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.410626Z

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Observation 85f7940d-abe8-453d-ad88-44ce7459d227 · outbound

This paper cites Ciraolo, A.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Ciraolo, A

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.390322Z

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Observation 9390c9dc-4444-4dbc-91f0-d036bf8f3755 · outbound

This paper cites Ciraolo and M.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Ciraolo and M

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.357107Z

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Observation b339ef36-e773-4e5e-9c5c-8a4fd7e691b9 · outbound

This paper cites Cordero-Erausquin, B.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Cordero-Erausquin, B

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.351516Z

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Observation d15fb7a8-0b78-4603-8155-ed7dc0ce00ca · outbound

This paper cites Dai and Y.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Dai and Y

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.296515Z

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Observation 7abde2e7-9942-4d66-8f51-493b611e12ce · outbound

This paper cites an unresolved cited work.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-07-08T06:44:40.326359Z

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Observation a475ad3c-b734-434f-8355-8ed365f94657 · outbound

This paper cites Dolbeault, M.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Dolbeault, M

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.328322Z

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Observation efe171bf-85a4-4bbe-b141-eb364c1f7afe · outbound

This paper cites Dom ´ınguez, Y.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Dom ´ınguez, Y

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.330707Z

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Observation e2420fb4-6f58-4d82-9170-08f5df8c41c8 · outbound

This paper cites Engelstein, R.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Engelstein, R

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.376549Z

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Observation 4e915cf9-0479-4b7b-9f3c-b58ae9e6f351 · outbound

This paper cites Sharp Stability for the Affine Fractional Sobolev Inequality.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Sharp Stability for the Affine Fractional Sobolev Inequality

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-07-08T06:44:40.204232Z

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Observation bcbcb6ff-f6d2-4cb7-888b-6969cc9108d8 · outbound

This paper cites Sharp Quantitative Stability for the Affine $p$-Sobolev Inequality, Part I: The Case $2\le p<n$.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Sharp Quantitative Stability for the Affine $p$-Sobolev Inequality, Part I: The Case $2\le p<n$

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-07-08T06:44:40.189630Z

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Observation 24589377-cec6-4825-a32a-3037c19160d8 · outbound

This paper cites Figalli and F.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Figalli and F

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.307705Z

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Observation 2d311d86-5aa8-4628-8ae7-2bc5c634670b · outbound

This paper cites Figalli and R.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Figalli and R

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.320969Z

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Observation 0f53b819-1f52-4e19-9d72-af480334aa6e · outbound

This paper cites Figalli and Y.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Figalli and Y

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.383334Z

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Observation faae2d27-3a6c-40c9-8e14-3b2713d54afc · outbound

This paper cites an unresolved cited work.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-07-08T06:44:40.314949Z

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Observation dfdcac14-922f-4851-a9f7-d2d35c17f436 · outbound

This paper cites an unresolved cited work.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-07-08T06:44:40.416825Z

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Observation f0a51dce-dcb7-417c-ad9d-5485a1d442e4 · outbound

This paper cites an unresolved cited work.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-07-08T06:44:40.305058Z

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Observation 64aecc40-c38f-47b1-af12-56b9f8ee0aa0 · outbound

This paper cites The sharp $\sigma_2$-curvature inequality on the sphere in quantitative form.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ The sharp $\sigma_2$-curvature inequality on the sphere in quantitative form

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-07-08T06:44:40.208078Z

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Observation 22ef5c8d-8a70-46bd-a13f-36409ca7fac2 · outbound

This paper cites Sharp quantitative integral inequalities for harmonic extensions.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Sharp quantitative integral inequalities for harmonic extensions

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-07-08T06:44:40.211560Z

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Observation f6b912c7-aa40-4f45-b3ff-e46aef78c610 · outbound

This paper cites an unresolved cited work.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-07-08T06:44:40.387859Z

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Observation 139bec2b-49ed-4fa4-918a-6d4ff3a2a98e · outbound

This paper cites Haberl and F.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Haberl and F

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.364956Z

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Observation b542e205-4060-45f8-8a7d-8ef44916d1a6 · outbound

This paper cites Guerra, X.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Guerra, X

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.400078Z

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Observation 5699018a-d76e-47e6-92d3-ba3b05113e21 · outbound

This paper cites Haddad, C.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Haddad, C

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.331117Z

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Observation fac679bd-48bc-4f27-ae5c-4e69eb08a43e · outbound

This paper cites Haddad, C.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Haddad, C

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.325844Z

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Observation 102411f1-c74b-4049-9448-9104cd4c30cf · outbound

This paper cites Haddad and M.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Haddad and M

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.343098Z

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Observation d0d66927-1388-4563-b878-c90229daca0f · outbound

This paper cites Haddad and M.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Haddad and M

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.392484Z

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Observation a60a1268-257d-440d-bc7d-ff931ef34d28 · outbound

This paper cites Huang and A.-J.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Huang and A.-J

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.403893Z

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Observation 57c148fc-b539-4c7c-8788-069a398ea935 · outbound

This paper cites Optimal convergence rates for the finite element approximation of the Sobolev constant.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Optimal convergence rates for the finite element approximation of the Sobolev constant

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-07-08T06:44:40.192803Z

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Observation 958d9a88-1ac6-48e7-ba72-986f82b0a591 · outbound

This paper cites Jaffard, Analysis of the lack of compactness in the critical Sobolev embeddings, J.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Jaffard, Analysis of the lack of compactness in the critical Sobolev embeddings, J

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.381230Z

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Observation 8f338e54-eb40-4b58-aba6-ffbee97d9d6d · outbound

This paper cites an unresolved cited work.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-07-08T06:44:40.354087Z

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Observation efa797db-b206-4243-b7d7-2b7492650a4b · outbound

This paper cites Lions, The concentration-compactness principle in the calculus of variations.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Lions, The concentration-compactness principle in the calculus of variations

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.361759Z

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Observation 7c11fbca-d1e7-4308-9ab8-6ca6cb02d9b9 · outbound

This paper cites Sharp stability for critical points of the Sobolev inequality in the absence of bubbling.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Sharp stability for critical points of the Sobolev inequality in the absence of bubbling

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-07-08T06:44:40.200646Z

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Observation e8a0f8b0-2287-471e-8744-1698e7017dc2 · outbound

This paper cites Lutwak, D.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Lutwak, D

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.351226Z

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Observation d9eb9797-862f-4b9a-8d6b-ec5a9887a744 · outbound

This paper cites Mercuri and M.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Mercuri and M

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.353896Z

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Observation 265ceb50-72b5-4cb3-8594-8cc7af23d6aa · outbound

This paper cites Neumayer, A note on strong-form stability for the Sobolev inequality, Calc.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Neumayer, A note on strong-form stability for the Sobolev inequality, Calc

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.408192Z

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Observation 3cc7545d-081a-47b6-b79b-6f48b18182a3 · outbound

This paper cites an unresolved cited work.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-07-08T06:44:40.349394Z

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Observation b4bce2ea-c7b4-42bc-9088-b5ebc25f1b17 · outbound

This paper cites Profile decomposition in Sobolev spaces and decomposition of integral functionals II: homogeneous case.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Profile decomposition in Sobolev spaces and decomposition of integral functionals II: homogeneous case

Reference 45

Resolution: verified exact; local_arxiv, observed 2026-07-08T06:44:40.182389Z

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Observation 42beb159-831c-491c-bc3a-ce263238efb7 · outbound

This paper cites Reuter, Local fixed point results for centroid body operators, Trans.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Reuter, Local fixed point results for centroid body operators, Trans

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.414910Z

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Observation 02bfe1c9-980a-4b82-baaa-ea718329bac0 · outbound

This paper cites Rodemich, The Sobolev inequality with best possible constant.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Rodemich, The Sobolev inequality with best possible constant

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.361979Z

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Observation da20faca-5240-46f9-838f-d00c86dfac2c · outbound

This paper cites Schindler and C.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Schindler and C

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.335703Z

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Observation eef0bdd1-19be-476e-b626-1c405a6f0677 · outbound

This paper cites Schneider, Convex Bodies: The Brunn–Minkowski Theory, 2nd expanded ed., Encycl.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Schneider, Convex Bodies: The Brunn–Minkowski Theory, 2nd expanded ed., Encycl

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.398219Z

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Observation 48918e04-a73f-45a9-a183-52dea0fe16bf · outbound

This paper cites Struwe, A global compactness result for elliptic boundary value problems involving lim- iting nonlinearities, Math.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Struwe, A global compactness result for elliptic boundary value problems involving lim- iting nonlinearities, Math

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.406295Z

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Observation d51cdaed-b524-4fbf-9873-a1d766be1478 · outbound

This paper cites Szeg ¨o, Orthogonal Polynomials, 4th ed, Colloq.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Szeg ¨o, Orthogonal Polynomials, 4th ed, Colloq

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.373973Z

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Observation 5d7a3a33-9033-4a78-96fa-a39612f9b052 · outbound

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

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Talenti, Best constant in Sobolev inequality, Ann

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.294278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d3cf6c38-29a1-4607-aef7-86fb27ecf8fd · outbound

This paper cites Stability of spinorial Sobolev inequalities on $\mathbb{S}^n$.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Stability of spinorial Sobolev inequalities on $\mathbb{S}^n$

Reference 53

Resolution: verified exact; local_arxiv, observed 2026-07-08T06:44:40.196607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 123c0d49-5656-4ed2-b9be-8db6dbffdb83 · outbound

This paper cites Wang, The affine Sobolev–Zhang inequality onBV(Rn), Adv.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Wang, The affine Sobolev–Zhang inequality onBV(Rn), Adv

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.356920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5747a026-e1c0-4e14-808c-6803fdbde941 · outbound

This paper cites Wang, The affine P´olya–Szeg¨o principle: equality cases and stability, J.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Wang, The affine P´olya–Szeg¨o principle: equality cases and stability, J

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.367733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9a79bea9-eabc-4201-bb92-1cb8d0c55165 · outbound

This paper cites an unresolved cited work.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Unresolved cited work

Reference 56

Resolution: unresolved; raw_fallback, observed 2026-07-08T06:44:40.396116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation cdfd2b78-9472-4034-b80a-b9a0a2681bbe · outbound

This paper cites Zhang, The affine Sobolev inequality, J.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Zhang, The affine Sobolev inequality, J

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T06:44:40.412748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation cd3a6586-5011-4bbf-bcde-867e3a2c6da3 · outbound

This paper cites an unresolved cited work.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ Unresolved cited work

Reference 58

Resolution: unresolved; raw_fallback, observed 2026-07-08T06:44:40.333522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Reference resolution

Outbound references

Pith citing papers