Paper Citation Record · LEDGER

Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates

As of 14 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2507.09219.

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pith.paper-citation-record.v1
2507.09219 v1

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measured 32 of 32 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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Source: cited_works

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32 of 32 outbound references displayed

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Outbound references

Observation 64c346ab-6ea1-4806-a102-f2c5a2f3a41e · outbound

This paper cites Long-timeasymp- toticsforevolutionarycrystaldislocationmodels.

Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates Long-timeasymp- toticsforevolutionarycrystaldislocationmodels

Reference 5

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Observation 54ffa5d0-bd1b-4076-b593-047229fdb35e · outbound

This paper cites Radial symmetry of positive so- lutions to equations involving the fractional Laplacian.

Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates Radial symmetry of positive so- lutions to equations involving the fractional Laplacian

Reference 6

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Observation d7ca2c5f-1e0e-42d2-a8d5-091cc22b15ca · outbound

This paper cites OnSerrin’soverdeterminedprob- lem in space forms.

Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates OnSerrin’soverdeterminedprob- lem in space forms

Reference 7

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Observation 5c996796-b97c-4cc4-85a1-e7b2b1f599db · outbound

This paper cites Uniqueness theorems for surfaces in the large. IV.

Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates Uniqueness theorems for surfaces in the large. IV

Reference 34

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Observation 65033544-56b0-4a62-aadb-10d2d6598756 · outbound

This paper cites Submanifolds,isoperimetricinequalitiesandop- timaltransportation.

Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates Submanifolds,isoperimetricinequalitiesandop- timaltransportation

Reference 117

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Observation 1b4fcf34-9f29-4997-8494-76b9d81e1a96 · outbound

This paper cites Ilproblemadellacapillaritàsudomininonregolari.

Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates Ilproblemadellacapillaritàsudomininonregolari

Reference 427

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Observation 4d2c2573-99d2-4b6e-b26a-2b721d3415c2 · outbound

This paper cites Quantitative stability for the nonlocal overdetermined Serrin problem.

Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates Quantitative stability for the nonlocal overdetermined Serrin problem

Reference 452

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Observation cb5b77c8-eb29-491f-9f9d-b4d4bdccfb6e · outbound

This paper cites Partiallyoverdeterminedelliptic boundary value problems.

Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates Partiallyoverdeterminedelliptic boundary value problems

Reference 458

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Observation d66bbdb8-a2fa-4ae1-a976-a3da733bdff8 · outbound

This paper cites Local behavior of solutions of quasilinear parabolic equations.

Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates Local behavior of solutions of quasilinear parabolic equations

Reference 551

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Observation 432b7aed-6054-4174-9e30-2f3c2c6ab653 · outbound

This paper cites Hölder estimates for solutions of integro-differential equations like the fractional Laplace.

Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates Hölder estimates for solutions of integro-differential equations like the fractional Laplace

Reference 665

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Observation b807b85a-2cfe-4d35-8093-71ccb9ca0fad · outbound

This paper cites The Evans-Krylov theorem for nonlocalfullynonlinearequations.

Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates The Evans-Krylov theorem for nonlocalfullynonlinearequations

Reference 673

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Observation 768b821c-4bf5-4952-b1f7-3dfbcabe5fd1 · outbound

This paper cites Some overdetermined boundary value problems with elliptical free boundaries.

Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates Some overdetermined boundary value problems with elliptical free boundaries

Reference 733

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Observation 8a432ce5-7a16-4db9-a4a5-141832cf676a · outbound

This paper cites On the stabil- ity of the Serrin problem.

Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates On the stabil- ity of the Serrin problem

Reference 783

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Observation b7ba6c39-c768-455e-9017-c773ab12db8c · outbound

This paper cites Sym- metry breaking and instability for semilinear elliptic equations in spherical sectors and cones.

Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates Sym- metry breaking and instability for semilinear elliptic equations in spherical sectors and cones

Reference 813

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Observation 18a67cdc-cf16-4ff9-b7f8-70d04fa829bd · outbound

This paper cites Overdeterminedprob- lems with fractional Laplacian.

Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates Overdeterminedprob- lems with fractional Laplacian

Reference 916

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Observation df50d43f-2f86-44b1-bc1a-9e8d200fec56 · outbound

This paper cites Harnackinequalitiesfornon- local operators of variable order.

Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates Harnackinequalitiesfornon- local operators of variable order

Reference 1641

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Observation 353acf5c-0e08-4f1a-bdc0-a762c8df3e7f · outbound

This paper cites Fractional Laplacians on domains, a development of Hörmander’s theory of𝜇-transmission pseudodifferential oper- ators.

Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates Fractional Laplacians on domains, a development of Hörmander’s theory of𝜇-transmission pseudodifferential oper- ators

Reference 1649

Resolution: verified exact; doi, observed 2026-08-06T18:18:05.440311Z

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Observation 3f4c10d6-d488-40e3-be74-ae9a31073b0e · outbound

This paper cites Soap bubbles and convex cones: optimal quantita- tive rigidity.

Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates Soap bubbles and convex cones: optimal quantita- tive rigidity

Reference 1798

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Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates Face 2-phase: how much overdetermination is enough to get symmetry in two-phase problems

Reference 1823

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Observation 24096496-faaf-4156-86b4-31e6e2abfb20 · outbound

This paper cites Serrin’s problem and Alexandrov’s soap bubble theorem: enhanced stability via integral identities.

Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates Serrin’s problem and Alexandrov’s soap bubble theorem: enhanced stability via integral identities

Reference 2669

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Observation 629961c1-08e2-48b8-acd1-e38e00c1dc9f · outbound

This paper cites Symmetry properties for positive solutions of elliptic equations with mixed boundary condi- tions.

Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates Symmetry properties for positive solutions of elliptic equations with mixed boundary condi- tions

Reference 3223

Resolution: verified exact; doi, observed 2026-08-06T18:18:06.051246Z

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Observation 8948d3e8-ab25-4caf-b971-6a02de186c81 · outbound

This paper cites The role of antisymmetric functions in nonlocal equations.

Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates The role of antisymmetric functions in nonlocal equations

Reference 3371

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Observation e1a2ce6f-0b6f-469a-8678-50b3aa262682 · outbound

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Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates Estimates for the sums of eigenvalues of the fractional Laplacian on a bounded domain

Reference 3640

Resolution: verified exact; doi, observed 2026-08-06T18:18:04.351735Z

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Observation 35aa2e3e-c144-44f2-898a-6dc370bf0b9d · outbound

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Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates Symmetryofsolutionstovariationalproblemsfornon- linear elliptic equations via reflection methods

Reference 3664

Resolution: verified exact; doi, observed 2026-08-06T18:18:04.561668Z

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Observation 8eb4d2a5-06fa-422f-a437-37c0ee703e8e · outbound

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Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates Harnack inequality for some classesofMarkovprocesses

Reference 4133

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Observation 8154abe3-a1bf-48af-89a8-978cb73ed2ee · outbound

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Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates Sharp energy estimates for non- linear fractional diffusion equations

Reference 5231

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Observation 8e6b4fb2-e193-43d6-8a79-7e0e31c0aae1 · outbound

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Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates OntheparabolickerneloftheSchrödinger operator

Reference 6811

Resolution: verified exact; doi, observed 2026-08-06T18:18:04.906105Z

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Observation c4d8a837-9bbf-433b-9797-34a080b0d2f3 · outbound

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Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates Elasticity theory of materials with long range cohesive forces

Reference 6850

Resolution: verified exact; doi, observed 2026-08-06T18:18:05.098419Z

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Observation b82d445e-f10b-417d-a4fa-bd1e288b8073 · outbound

This paper cites On Harnack type inequalities and their applica- tion to quasilinear elliptic equations.

Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates On Harnack type inequalities and their applica- tion to quasilinear elliptic equations

Reference 8994

Resolution: verified exact; doi, observed 2026-08-06T18:18:04.753825Z

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Observation 4144110b-6fd3-4e59-a94f-55533349fa0f · outbound

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Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates Nonsymmetric sign-changing solutions to overdetermined elliptic problems in bounded domains

Reference 9863

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Observation 02cc5520-95b9-4149-b8d3-5d062ea6c5e9 · outbound

This paper cites Robust nonlocal trace spaces and Neumann problems.

Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates Robust nonlocal trace spaces and Neumann problems

Reference 9947

Resolution: metadata mismatch; raw_fallback, observed 2026-08-06T18:18:07.255558Z

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Observation 74ba9473-c843-47e6-b105-5e7c486ff7cd · outbound

This paper cites Existence of nonradial domains for overdetermined and isoperimetric prob- lems in nonconvex cones.

Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates Existence of nonradial domains for overdetermined and isoperimetric prob- lems in nonconvex cones

Reference 9971

Resolution: verified exact; doi, observed 2026-08-06T18:18:05.235787Z

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