Paper Citation Record · LEDGER

The weighted isoperimetric inequality and Sobolev inequality outside convex sets

As of 8 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 0 inbound Pith citation observations for arXiv:2510.01647.

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

pith.paper-citation-record.v1
2510.01647 v4

Coverage vector

measured 59 of 59 reference resolution

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Source: cited_works

Reference resolution

59 of 59 outbound references displayed

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Outbound references

Observation cab4612d-45a4-4647-aa4d-27e87f81f49d · outbound

This paper cites an unresolved cited work.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Unresolved cited work

Reference 1

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Observation f5946cd7-c198-41e8-821b-6b365c367872 · outbound

This paper cites Ambrosio, N.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Ambrosio, N

Reference 2

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Observation cf03b8d1-760b-4d81-8533-bcd5fe9c7b3b · outbound

This paper cites Alvino, V.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Alvino, V

Reference 3

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Observation 1736e285-a12d-4f93-aa99-70d557394e6b · outbound

This paper cites Borell,The Brunn–Minkowski inequality in Gauss space, Invent.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Borell,The Brunn–Minkowski inequality in Gauss space, Invent

Reference 4

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Observation 70b55211-1d1c-4d16-a22e-f8c50101763e · outbound

This paper cites Betta, F.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Betta, F

Reference 5

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Observation 6accf806-c1c0-4a07-971e-5abb58ea5588 · outbound

This paper cites Bellettini, G.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Bellettini, G

Reference 6

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Observation 53306399-8dda-41e9-87a3-61fd055b1c0a · outbound

This paper cites Brock, F.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Brock, F

Reference 7

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Observation 5d1ceef3-7a59-4435-8944-3990196005b8 · outbound

This paper cites Bayle, A.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Bayle, A

Reference 8

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Observation 2bda3547-bce4-47cb-a103-c0250a87742f · outbound

This paper cites Balogh, S.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Balogh, S

Reference 9

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Observation 5eded856-f9dd-4592-9e68-369d96f0aab3 · outbound

This paper cites Balogh, S.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Balogh, S

Reference 10

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Observation a86b9db7-9dd4-4298-aed9-66515cb0984a · outbound

This paper cites Balogh, C.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Balogh, C

Reference 11

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Observation 37f11b4e-e3b8-44ad-a68c-792fbdffc8cd · outbound

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The weighted isoperimetric inequality and Sobolev inequality outside convex sets Unresolved cited work

Reference 12

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Observation 523ca59b-50cf-47d7-8b79-249a29a48206 · outbound

This paper cites Br´ ezis, L.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Br´ ezis, L

Reference 13

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Observation fe7ab35f-276d-4b72-afcd-5e1d69c22a7c · outbound

This paper cites Choe,Relative isoperimetric inequality for domains outside a convex set, Arch.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Choe,Relative isoperimetric inequality for domains outside a convex set, Arch

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T12:56:21.722041Z

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Observation c3190b2d-0120-4999-8ac5-16adb51ed64c · outbound

This paper cites Chambers,Proof of the log-convex density conjecture, J.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Chambers,Proof of the log-convex density conjecture, J

Reference 15

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Observation 93b6e338-03cf-479b-a118-8e66c2a02570 · outbound

This paper cites Cabr´ e,Partial differential equations, geometry, and stochastic control, Butl.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Cabr´ e,Partial differential equations, geometry, and stochastic control, Butl

Reference 16

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Observation 995ec67a-c592-4dbd-9c2b-9c64c9e9d20c · outbound

This paper cites Cabr´ e,Elliptic PDE’s in probability and Geometry: symmetry and regularity of solutions, Discrete Contin.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Cabr´ e,Elliptic PDE’s in probability and Geometry: symmetry and regularity of solutions, Discrete Contin

Reference 17

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Observation 4626555e-1787-46be-a79f-3f3bd4b884f9 · outbound

This paper cites Cianchi, N.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Cianchi, N

Reference 18

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Observation 97981ca7-282e-4de0-98fe-c547489ae69f · outbound

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The weighted isoperimetric inequality and Sobolev inequality outside convex sets Unresolved cited work

Reference 19

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Observation 0102a204-e6de-4214-acd6-6d990d8f6388 · outbound

This paper cites Pratelli, X.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Pratelli, X

Reference 20

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Observation 54efef4b-8436-487f-aba1-9fd125b33c6d · outbound

This paper cites Carroll, A.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Carroll, A

Reference 21

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Observation 5dded0ae-23c7-48cc-9551-cd856ca81cf6 · outbound

This paper cites Ca¨ nete, M.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Ca¨ nete, M

Reference 22

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Observation 06ceef13-834e-4c22-86e7-8c9ddd456a8b · outbound

This paper cites Cinti, A.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Cinti, A

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T12:56:22.630985Z

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Observation be59077b-7234-4c7e-b7c5-3861dd75613e · outbound

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The weighted isoperimetric inequality and Sobolev inequality outside convex sets Unresolved cited work

Reference 24

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Observation 56e6e60d-c969-49df-b83c-3aecce7c8bac · outbound

This paper cites Cabr´ e, X.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Cabr´ e, X

Reference 25

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Observation 16aa7e48-1999-48ce-8010-25dc70e5c13f · outbound

This paper cites Chai and G.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Chai and G

Reference 26

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Observation 27990928-ca4e-4a96-8fc3-26bf21212662 · outbound

This paper cites Dahlberg, A.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Dahlberg, A

Reference 27

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Observation 9caa45dc-a529-480b-b889-cce925011294 · outbound

This paper cites D ´laz, N.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets D ´laz, N

Reference 28

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Observation 368bafcf-09d4-41f2-b059-4838804146d0 · outbound

This paper cites Ehrhard,Sym´ etrisation dans l’espace de Gauss, Math.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Ehrhard,Sym´ etrisation dans l’espace de Gauss, Math

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Observation eaf46454-d174-412d-a58b-d903369ecf8e · outbound

This paper cites Finn,Equilibrium capillary surfaces, Grundlehren der mathematischen Wissenschaften [Funda mental Principles of Mathe- matical Sciences], Springer-Verlag, New York, vol.284(1986).

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Finn,Equilibrium capillary surfaces, Grundlehren der mathematischen Wissenschaften [Funda mental Principles of Mathe- matical Sciences], Springer-Verlag, New York, vol.284(1986)

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Observation 4e372cff-573f-44f3-b01c-1be45672d0ed · outbound

This paper cites Fusco, V.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Fusco, V

Reference 31

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Observation 8d1d979d-d8c0-45e2-bb32-8301058591ec · outbound

This paper cites Fusco, V.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Fusco, V

Reference 32

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Observation 6f9b5e65-2081-4b19-a9e7-fd81b4122d4e · outbound

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The weighted isoperimetric inequality and Sobolev inequality outside convex sets Figalli, F

Reference 33

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Observation 41e381b8-1feb-4e1e-b6d6-74150b111877 · outbound

This paper cites Rigidity and large volume residues in exterior isoperimetry for convex sets.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Rigidity and large volume residues in exterior isoperimetry for convex sets

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Observation e58fc7d8-da8b-4801-abe7-a61bd44e161a · outbound

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The weighted isoperimetric inequality and Sobolev inequality outside convex sets Fusco, F

Reference 35

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Observation 7166407b-26f8-4b25-98e0-eb3eda7ae5f8 · outbound

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The weighted isoperimetric inequality and Sobolev inequality outside convex sets Ferreri, G

Reference 36

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Observation 40670834-24be-4721-a23f-a3b568b61465 · outbound

This paper cites Gol’dshtein and A.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Gol’dshtein and A

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Observation 129fb40e-9691-4874-84a5-d7a46207455c · outbound

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The weighted isoperimetric inequality and Sobolev inequality outside convex sets Jia and X

Reference 38

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Observation a97d381c-170a-4516-b26f-c0a92283dd1c · outbound

This paper cites Kim,An optimal relative isoperimetric inequality in concave cylindrical domains inR n, J.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Kim,An optimal relative isoperimetric inequality in concave cylindrical domains inR n, J

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Observation 1acc2458-e8bd-4db9-a62c-e32bf73683b7 · outbound

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The weighted isoperimetric inequality and Sobolev inequality outside convex sets Unresolved cited work

Reference 40

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Observation 54e6c993-0112-4adc-a6a8-34fafbbe74f1 · outbound

This paper cites Kolesnikov and R.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Kolesnikov and R

Reference 41

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Observation 5fb1b88a-0c9f-42bb-8552-fff768e562d0 · outbound

This paper cites Li,A polyhedron comparison theorem for 3-manifolds with positive scalar curvature, Invent.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Li,A polyhedron comparison theorem for 3-manifolds with positive scalar curvature, Invent

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Observation 19f801cd-3366-454f-8163-2772eb1b6779 · outbound

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The weighted isoperimetric inequality and Sobolev inequality outside convex sets Unresolved cited work

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Observation 9b417f76-3ae4-4722-acf0-8ed9d3ab0ced · outbound

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The weighted isoperimetric inequality and Sobolev inequality outside convex sets Unresolved cited work

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Observation e31bd84c-734d-47a9-8ba1-56721ad31b77 · outbound

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The weighted isoperimetric inequality and Sobolev inequality outside convex sets Unresolved cited work

Reference 45

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Observation c4071703-dd76-4cf3-b1e7-13bb47ae824d · outbound

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The weighted isoperimetric inequality and Sobolev inequality outside convex sets Unresolved cited work

Reference 46

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Observation a0c77b2d-5c42-49d5-a5b6-45e1fcfd99be · outbound

This paper cites Morgan,Manifolds with density, Notices Amer.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Morgan,Manifolds with density, Notices Amer

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Observation 7552e106-3998-4559-b36e-e2afd586d083 · outbound

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The weighted isoperimetric inequality and Sobolev inequality outside convex sets Unresolved cited work

Reference 48

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Observation c0fae04d-8440-4c5d-b0b6-8b69887fe292 · outbound

This paper cites Regularity of minimal surfaces with capillary boundary conditions.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Regularity of minimal surfaces with capillary boundary conditions

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Observation 4ffdc683-cd09-4477-95ae-13dd577c815c · outbound

This paper cites Maurmann and F.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Maurmann and F

Reference 50

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Observation 33ec71c9-b753-4f13-8555-373e932bd46c · outbound

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The weighted isoperimetric inequality and Sobolev inequality outside convex sets Morgan, A

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Resolution: unresolved; no resolver link, observed 2026-08-04T12:56:25.741802Z

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Observation 4779850b-3d08-4a3f-b836-53d4ca1b5c7e · outbound

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The weighted isoperimetric inequality and Sobolev inequality outside convex sets Nobili and I

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Observation ac62ec08-4cf3-4a8d-964b-1cc4b7d96d8c · outbound

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The weighted isoperimetric inequality and Sobolev inequality outside convex sets Philippis, N

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Observation 0d1c4fb0-1567-4019-8cd0-c2de3e4add42 · outbound

This paper cites Ritor´ e,Optimal isoperimetric inequalities for three-dimensional Cartan-Hadamard manifolds, Clay Mathematics Institute, MSRI, Berkeley, (2001).

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Ritor´ e,Optimal isoperimetric inequalities for three-dimensional Cartan-Hadamard manifolds, Clay Mathematics Institute, MSRI, Berkeley, (2001)

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Resolution: unresolved; no resolver link, observed 2026-08-04T12:56:26.078830Z

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Observation 09550422-62db-4e7f-b074-eff1b566a915 · outbound

This paper cites Sard,The measure of the critical values of di erential maps, Bulletin of the American Mathematical Society,48(1942), 883890.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Sard,The measure of the critical values of di erential maps, Bulletin of the American Mathematical Society,48(1942), 883890

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Observation e8f57eb5-19a9-4445-8e6f-1c9a64ca79b7 · outbound

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The weighted isoperimetric inequality and Sobolev inequality outside convex sets Unresolved cited work

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Observation f865d90f-c15e-489e-8a26-7a948026cd00 · outbound

This paper cites Towards a long-range theory of capillarity.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Towards a long-range theory of capillarity

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Observation 014e54ba-1b38-4600-9831-d09a61c2ab09 · outbound

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The weighted isoperimetric inequality and Sobolev inequality outside convex sets Wang and C

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Observation 584614d0-f925-4d0c-aa7f-375d2309d8d4 · outbound

This paper cites Young,An essay on the cohesion of fluids, Philos.

The weighted isoperimetric inequality and Sobolev inequality outside convex sets Young,An essay on the cohesion of fluids, Philos

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