Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-09T17:34:13.401864Z
Paper Citation Record · LEDGER
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation
As of 23 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2607.07218.
A citation records a reference. It does not transfer a finding from one paper to another.
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Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
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Source: cited_works
Reference resolution
43 of 43 outbound references displayed
- verified exact17
- verified fuzzy18
- unresolved3
- parse uncertain0
- malformed identifier3
- metadata mismatch2
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 36592da8-726c-4a61-9cad-e60e05c38aec · outbound
This paper cites Handbook of Mathematical Functions.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Handbook of Mathematical Functions
Reference 1
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- verified fuzzy
- raw_fallback, observed 2026-07-09T17:36:25.429909Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 1c46c20e-57ba-495e-9ac0-f149db7dc09b · outbound
This paper cites On the asymptotic behavior of a diffraction problem with a thin layer.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation On the asymptotic behavior of a diffraction problem with a thin layer
Reference 2
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- malformed identifier
- doi_truncated, observed 2026-07-09T17:36:24.487342Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 549eedcf-83a5-4c44-98d1-b47b3cd83d34 · outbound
This paper cites On the optimal shape of a thin insulating layer.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation On the optimal shape of a thin insulating layer
Reference 3
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- verified exact
- doi, observed 2026-07-09T17:36:24.480836Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e917c36c-8c8c-4374-b1b1-b857498c255d · outbound
This paper cites Reinforcement problems in the calculus of variations.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Reinforcement problems in the calculus of variations
Reference 4
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- verified exact
- doi, observed 2026-07-09T17:36:24.457292Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation ddbee6e7-e1ad-4c12-9f50-5143603dba3f · outbound
This paper cites A lower bound for the first eigenvalue of an elliptic operator.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation A lower bound for the first eigenvalue of an elliptic operator
Reference 5
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- verified exact
- doi, observed 2026-07-09T17:36:24.457112Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation ec8f4f1d-f051-4bb0-a75c-29fa69c5622f · outbound
This paper cites Bandle and A.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Bandle and A
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T17:36:25.427842Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 14cd978e-865c-49e5-a290-4857e4e0aa82 · outbound
This paper cites Cross-product of Bessel functions: Monotonicity patterns and functional inequalities.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Cross-product of Bessel functions: Monotonicity patterns and functional inequalities
Reference 7
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- verified exact
- doi, observed 2026-07-09T17:36:24.490944Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 89c66284-6ce8-435c-a30b-ea2b14003c33 · outbound
This paper cites Numerical solution of a nonlinear eigenvalue problem arising in optimal insulation.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Numerical solution of a nonlinear eigenvalue problem arising in optimal insulation
Reference 8
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- verified fuzzy
- raw_fallback, observed 2026-07-09T17:36:25.417354Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b354644a-57e8-4666-869c-a58f6c5970d9 · outbound
This paper cites Longueurs extrémales et fonctionnelles de domaine.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Longueurs extrémales et fonctionnelles de domaine
Reference 9
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- verified fuzzy
- raw_fallback, observed 2026-07-09T17:36:25.420134Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 98c3c9ad-7cec-458e-87de-d449ed41761b · outbound
This paper cites Reinforcement problems for elliptic equations and variational inequalities.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Reinforcement problems for elliptic equations and variational inequalities
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T17:36:25.422550Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation cc9c28f4-0c11-4db7-ae01-534f98acff35 · outbound
This paper cites Symmetry breaking for a problem in optimal insulation.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Symmetry breaking for a problem in optimal insulation
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T17:36:25.425458Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b8f67b5a-18e7-43e4-be93-e8ddc41516d9 · outbound
This paper cites Two optimization problems in thermal insulation.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Two optimization problems in thermal insulation
Reference 12
- Resolution
- verified exact
- doi, observed 2026-07-09T17:36:24.483237Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 94f32d64-005f-4eec-98e6-ecdce5dbb4c8 · outbound
This paper cites Thin insulating layers: the optimization point of view.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Thin insulating layers: the optimization point of view
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T17:36:25.432307Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation ef9cdc50-f33d-429b-a535-0ca75b68d662 · outbound
This paper cites an unresolved cited work.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T17:36:25.461018Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 505bb32b-2f0c-4238-a992-d3bd6bf7e0bd · outbound
This paper cites A characterization result for the existence of a two-phase material minimizing the first eigenvalue.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation A characterization result for the existence of a two-phase material minimizing the first eigenvalue
Reference 15
- Resolution
- verified exact
- doi, observed 2026-07-09T17:36:24.484953Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a9bc776e-be82-4593-90d4-040816c9c03b · outbound
This paper cites Smoothness Properties for the Optimal Mixture of Two Isotropic Materials: The Compliance and Eigenvalue Problems.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Smoothness Properties for the Optimal Mixture of Two Isotropic Materials: The Compliance and Eigenvalue Problems
Reference 16
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- verified exact
- doi, observed 2026-07-09T17:36:24.483079Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation d40de8c8-3340-4924-8662-3829ee7e1702 · outbound
This paper cites Minimization of the Ground State for Two Phase Conductors in Low Contrast Regime.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Minimization of the Ground State for Two Phase Conductors in Low Contrast Regime
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T17:36:25.462859Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b332c856-c048-4fc9-8f65-bd068afa2248 · outbound
This paper cites Shape derivative for a two-phase eigenvalue problem and optimal configurations in a ball.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Shape derivative for a two-phase eigenvalue problem and optimal configurations in a ball
Reference 18
- Resolution
- verified exact
- arxiv_id, observed 2026-07-09T17:36:24.466555Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation edd4f3f3-2220-4521-8165-469664fef407 · outbound
This paper cites Extremal eigenvalue problems for two-phase conductors.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Extremal eigenvalue problems for two-phase conductors
Reference 19
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- verified exact
- doi, observed 2026-07-09T17:36:24.475751Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b1aaf325-caf3-467e-95f7-476363eaab84 · outbound
This paper cites On the classical reinforcement problem and optimisation.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation On the classical reinforcement problem and optimisation
Reference 20
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-07-09T17:36:24.479114Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 0dbdc908-bdaf-4e4c-accc-f69cbf92cc11 · outbound
This paper cites Remarks on the reinforcement of the spectrum of an elliptic problem with Robin boundary condition.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Remarks on the reinforcement of the spectrum of an elliptic problem with Robin boundary condition
Reference 21
- Resolution
- verified exact
- local_arxiv, observed 2026-07-09T17:36:25.356853Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation c2186f67-cf69-46e5-aee7-44bce4da5ac6 · outbound
This paper cites On variations of the shape Hessian and sufficient conditions for the stability of critical shapes.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation On variations of the shape Hessian and sufficient conditions for the stability of critical shapes
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T17:36:25.454420Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 4d318078-985f-4ea8-9bcb-07cb1e20330d · outbound
This paper cites On the Shape Sensitivity of the First Dirichlet Eigenvalue for Two-Phase Problems.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation On the Shape Sensitivity of the First Dirichlet Eigenvalue for Two-Phase Problems
Reference 23
- Resolution
- verified exact
- doi, observed 2026-07-09T17:36:24.460123Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 34ef4d87-b93f-471d-8125-9883bea3d174 · outbound
This paper cites Stability in shape optimization with second variation.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Stability in shape optimization with second variation
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T17:36:25.451930Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 26c9c950-b201-4308-a5e6-03c45f24099b · outbound
This paper cites A Faber-Krahn inequality for Robin problems in any space dimension.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation A Faber-Krahn inequality for Robin problems in any space dimension
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T17:36:25.456622Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 40313948-ec07-4cdf-b49c-0a0eaadb6d2f · outbound
This paper cites An optimization problem in thermal insulation with Robin boundary conditions.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation An optimization problem in thermal insulation with Robin boundary conditions
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T17:36:25.459093Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 586292ad-2a55-4afe-ab5f-67630d39471e · outbound
This paper cites Optimal insulation and concentration breaking for nonlinear Robin boundary value problems.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Optimal insulation and concentration breaking for nonlinear Robin boundary value problems
Reference 27
- Resolution
- verified exact
- local_arxiv, observed 2026-07-09T17:36:25.359778Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 2b60faec-2199-486a-b1bc-e5181200d3f6 · outbound
This paper cites Some remarks on optimal insulation with Robin boundary conditions.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Some remarks on optimal insulation with Robin boundary conditions
Reference 28
- Resolution
- verified exact
- doi, observed 2026-07-09T17:36:24.474508Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 7959f5c5-99e0-4ba3-8da3-b8dd2fb85ab2 · outbound
This paper cites Beweis, dass unter allen homogenen Membranen von gleicher Fläche und gleicher Spannung die kreisförmige den tiefsten Grundton gibt.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Beweis, dass unter allen homogenen Membranen von gleicher Fläche und gleicher Spannung die kreisförmige den tiefsten Grundton gibt
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T17:36:25.444829Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 7bbe2134-445a-4868-b1f5-3a05e63eb63f · outbound
This paper cites Reinforcement of the principal eigenvalue of an elliptic operator.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Reinforcement of the principal eigenvalue of an elliptic operator
Reference 30
- Resolution
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- raw_fallback, observed 2026-07-09T17:36:25.447110Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 61738bbb-be96-4d26-8098-45c9b585bc2b · outbound
This paper cites Bates, J.H.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Bates, J.H
Reference 31
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-07-09T17:36:25.355111Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 025c8d5d-ff91-4169-ac86-f2fe18579ce5 · outbound
This paper cites Henrot and M.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Henrot and M
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T17:36:25.440321Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation bf7945d8-aa05-4d84-a2e2-47ca781818bc · outbound
This paper cites Concentration breaking on two optimization problems.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Concentration breaking on two optimization problems
Reference 33
- Resolution
- malformed identifier
- doi_truncated, observed 2026-07-09T17:36:24.489170Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 6bbb0d61-5f43-48e7-b229-195b60210215 · outbound
This paper cites Stability analysis on two thermal insulation problems.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Stability analysis on two thermal insulation problems
Reference 34
- Resolution
- malformed identifier
- doi_truncated, observed 2026-07-09T17:36:24.449733Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 43cf5dba-c1ae-405e-a8d2-c9440ae8481f · outbound
This paper cites Über eine von Rayleigh formulierte Minimaleigenschaft des Kreises.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Über eine von Rayleigh formulierte Minimaleigenschaft des Kreises
Reference 35
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- verified fuzzy
- raw_fallback, observed 2026-07-09T17:36:25.438951Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation da240f6f-69cf-4b2e-a916-9661a0713b3e · outbound
This paper cites an unresolved cited work.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T17:36:25.442539Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 42cf8da5-a2a1-4831-8e6f-15675db0727b · outbound
This paper cites Global minimizer of the ground state for two phase conductors in low contrast regime.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Global minimizer of the ground state for two phase conductors in low contrast regime
Reference 37
- Resolution
- verified exact
- arxiv_id, observed 2026-07-09T17:36:24.478679Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation dcf256de-4512-488f-8dbf-d3457e665aeb · outbound
This paper cites Asymptotic behavior of Robin problem for heat equation on a coated body.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Asymptotic behavior of Robin problem for heat equation on a coated body
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T17:36:25.442230Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation d2d3acf2-3360-4f2b-9006-603b114e7342 · outbound
This paper cites Shape optimization of a weighted two-phase Dirichlet eigenvalue.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Shape optimization of a weighted two-phase Dirichlet eigenvalue
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T17:36:25.436975Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 6a300aa7-4db1-44dc-a3c7-8979903fb420 · outbound
This paper cites an unresolved cited work.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Unresolved cited work
Reference 40
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T17:36:25.449417Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a4534219-093a-44bf-b082-3ccc3ede73e1 · outbound
This paper cites Asymptotic behavior for the principal eigenvalue of a reinforcement problem.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Asymptotic behavior for the principal eigenvalue of a reinforcement problem
Reference 41
- Resolution
- verified exact
- doi, observed 2026-07-09T17:36:24.469495Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 5f6dacf2-4242-42be-93a8-0f62acb6ee54 · outbound
This paper cites Estimating thermal insulating ability of anisotropic coatings via Robin eigenvalues and eigenfunctions.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Estimating thermal insulating ability of anisotropic coatings via Robin eigenvalues and eigenfunctions
Reference 42
- Resolution
- verified exact
- doi, observed 2026-07-09T17:36:24.485104Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 299e8211-24e8-4c25-9727-594aa133823f · outbound
This paper cites Regularity of a transmission problem and periodic homogenization.
Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation Regularity of a transmission problem and periodic homogenization
Reference 43
- Resolution
- verified exact
- doi, observed 2026-07-09T17:36:24.467095Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Pith citing papers
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