Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group | Paper Citation Record

Observation 4e07f02b-1e5d-4d6e-a115-b81b0f25b9f6 · outbound

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

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Aubin, Probl` emes isop´ erim´ etriques et espaces de Sobolev,J

Reference 1

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This paper cites Bianchi, H.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Bianchi, H

Reference 2

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Observation 63c09b8b-328c-4a50-bd5c-fd8a13400d5f · outbound

This paper cites Brezis, E.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Brezis, E

Reference 3

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Observation 62d0e8d7-2e3b-4d51-8038-1d24cdc0fada · outbound

This paper cites Brezis, E.H.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Brezis, E.H

Reference 4

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Observation 5737cab4-0758-4c5b-a803-d8409e018829 · outbound

This paper cites Carlen, Duality and stability for functional inequalities,Ann.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Carlen, Duality and stability for functional inequalities,Ann

Reference 5

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Observation 4d54f38f-87f9-4146-ac04-d4d759f3eafb · outbound

This paper cites Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality

Reference 6

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Observation 9fca40ba-4a03-484e-910f-42f58210d9b7 · outbound

This paper cites Chen, R.L.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Chen, R.L

Reference 7

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This paper cites Chen, G.Z.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Chen, G.Z

Reference 8

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This paper cites Chen, G.Z.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Chen, G.Z

Reference 9

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This paper cites Chen, G.Z.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Chen, G.Z

Reference 10

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This paper cites Chen, G.Z.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Chen, G.Z

Reference 11

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This paper cites Chen, Z.X.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Chen, Z.X

Reference 12

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Observation 90f5685d-8f1d-40be-b0f5-4c543d62d095 · outbound

This paper cites De Nitti, T.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group De Nitti, T

Reference 13

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This paper cites Deng, W.S.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Deng, W.S

Reference 14

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This paper cites On the stability constant of Caffarelli-Kohn-Nirenberg inequality.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group On the stability constant of Caffarelli-Kohn-Nirenberg inequality

Reference 15

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Observation e0d589bf-27e8-44d3-bb67-4e6ffda9e200 · outbound

This paper cites Deng, X.L.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Deng, X.L

Reference 16

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Observation 7a5b4dbd-efef-45ee-8e0a-d979927fa645 · outbound

This paper cites Deng, X.L.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Deng, X.L

Reference 17

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Observation d0a220a5-9f90-4b66-abc9-2a938be5eb1e · outbound

This paper cites Deng, X.L.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Deng, X.L

Reference 18

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Observation 77a435f0-8b0f-44a9-88f1-ad313961e4b0 · outbound

This paper cites Dolbeault, M.J.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Dolbeault, M.J

Reference 19

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Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Unresolved cited work

Reference 20

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Observation 2172d112-3731-4875-870a-c02710472b15 · outbound

This paper cites Figalli, R.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Figalli, R

Reference 21

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Observation b7276a56-1e46-4fd7-8e98-050b3e0e8846 · outbound

This paper cites Figalli, Y.R.Y.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Figalli, Y.R.Y

Reference 22

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This paper cites Folland, E.M.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Folland, E.M

Reference 23

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Observation 90f4bd44-36e0-4e7c-b6a8-474a70b6643c · outbound

This paper cites Frank, E.H.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Frank, E.H

Reference 24

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Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Unresolved cited work

Reference 25

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Observation 245ee950-eda4-4543-a547-0635c7a89767 · outbound

This paper cites Guo, T.X.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Guo, T.X

Reference 26

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Observation b70d09b8-fabe-407d-ba06-a19e91b5f00a · outbound

This paper cites Hardy, J.E.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Hardy, J.E

Reference 27

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Observation 19afbda6-3d5f-469a-bf95-65a1d94b363c · outbound

This paper cites Jerison, J.M.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Jerison, J.M

Reference 28

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Observation e4cf74d9-c2c1-4fac-9ca0-1b5196a5201a · outbound

This paper cites K¨ onig, On the sharp constant in the Bianchi-Egnell stability inequality,Bull.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group K¨ onig, On the sharp constant in the Bianchi-Egnell stability inequality,Bull

Reference 29

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Observation 3c0827f0-1c14-4a9a-afd5-c72e0fb2b29d · outbound

This paper cites K¨ onig, Stability for the Sobolev inequality: existence of a minimizer,J.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group K¨ onig, Stability for the Sobolev inequality: existence of a minimizer,J

Reference 30

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Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Unresolved cited work

Reference 31

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Observation e4c0011d-2af1-4738-9722-1ce7e4ac4f29 · outbound

This paper cites Lieb, Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities,Ann.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Lieb, Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities,Ann

Reference 32

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Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Unresolved cited work

Reference 33

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Observation 21057174-f8cf-4fc5-84f3-bdd1bac5da32 · outbound

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

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Lions, The concentration-compactness principle in the calculus of variations

Reference 34

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Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Unresolved cited work

Reference 35

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This paper cites Loiudice, Improved Sobolev inequalities on the Heisenberg group,Nonlinear Anal.,62(2005): 953-962.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Loiudice, Improved Sobolev inequalities on the Heisenberg group,Nonlinear Anal.,62(2005): 953-962

Reference 36

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Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Unresolved cited work

Reference 37

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This paper cites Remainder terms, profile decomposition and sharp quantitative stability in the fractional nonlocal Sobolev-type inequality with $n>2s$.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Remainder terms, profile decomposition and sharp quantitative stability in the fractional nonlocal Sobolev-type inequality with $n>2s$

Reference 38

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Observation 1b93346a-38f9-4198-9a0a-a0f7ec899047 · outbound

This paper cites Malchiodi, F.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Malchiodi, F

Reference 39

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Observation 6ab77e6c-90c1-4f29-adbb-57d26152fa3d · outbound

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

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Neumayer, A note on strong-form stability for the Sobolev inequality,Calc

Reference 40

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Observation 8a150052-800b-4115-a5a2-bbff27ab2523 · outbound

This paper cites Platis, Quasiconformal mappings on the Heisenberg group: an overview, IRMA Lect.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Platis, Quasiconformal mappings on the Heisenberg group: an overview, IRMA Lect

Reference 41

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Observation ff27bd1e-6dd4-4e1e-a142-4db64fc61bed · outbound

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

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Talenti, Best constant in Sobolev inequality,Ann

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This paper cites Tang, B.W.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Tang, B.W

Reference 43

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This paper cites Wei, Y.Z.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Wei, Y.Z

Reference 44

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Observation a51b2f03-9029-4d07-a4a4-57532151f664 · outbound

This paper cites Nondegeneracy of positive solutions for critical Hartree equation on Heisenberg group and it's applications.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Nondegeneracy of positive solutions for critical Hartree equation on Heisenberg group and it's applications

Reference 45

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:21:18.399937Z

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Observation 22427220-787d-4d97-9ca2-300c11e02cf5 · outbound

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Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Unresolved cited work

Reference 46

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Observation 8a225803-22f7-49db-89e6-42c516c66d3f · outbound

This paper cites Zhang, Existence of extremals for stability of nonlocal Sobolev inequality,Adv.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Zhang, Existence of extremals for stability of nonlocal Sobolev inequality,Adv

Reference 47

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Observation 9ad50ff2-7af5-4ec3-adaf-c5919c434e49 · outbound

This paper cites Symmetry and uniqueness of the positive solution for the critical Hartree equation on the Heisenberg group.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Symmetry and uniqueness of the positive solution for the critical Hartree equation on the Heisenberg group

Reference 48

Resolution: verified exact; raw_fallback, observed 2026-08-19T01:25:33.586599Z

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Observation 1e829ec6-95f3-4e15-aaf9-8ff8b70c8a85 · outbound

This paper cites Quantitative stability of critical points for the nonlocal-Sobolev inequality in Heisenberg group.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Quantitative stability of critical points for the nonlocal-Sobolev inequality in Heisenberg group

Reference 49

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:21:18.296476Z

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Observation 87681062-f65a-497e-80fd-c25445daaea3 · outbound

This paper cites Zhang, Y.X.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Zhang, Y.X

Reference 50

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