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Paper Citation Record · LEDGER

Spectral minimal partitions of unbounded domains

As of 13 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 0 inbound Pith citation observations for arXiv:2510.00811.

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2510.00811 v2

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measured 54 of 54 reference resolution

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Outbound references

Observation 439e46f4-202b-42c8-bc5f-211b4c2aae6a · outbound

This paper cites Adams.Sobolev spaces, volume Vol.

Spectral minimal partitions of unbounded domains Adams.Sobolev spaces, volume Vol

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Observation 9ca09d24-11b7-440f-86b1-e659e98a9c08 · outbound

This paper cites Overdetermined problems and relative Cheeger sets in unbounded domains.Atti Accad.

Spectral minimal partitions of unbounded domains Overdetermined problems and relative Cheeger sets in unbounded domains.Atti Accad

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Observation 661c9ae7-5049-40b9-bcef-0bd23bc5f58a · outbound

This paper cites On the singular set of free interface in an optimal partition problem.Commun.

Spectral minimal partitions of unbounded domains On the singular set of free interface in an optimal partition problem.Commun

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Observation eb42f834-5082-4507-a215-bd5c16d92baa · outbound

This paper cites an unresolved cited work.

Spectral minimal partitions of unbounded domains Unresolved cited work

Reference 4

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Observation 61e10220-1090-4a64-938c-92a0d4e56e1d · outbound

This paper cites an unresolved cited work.

Spectral minimal partitions of unbounded domains Unresolved cited work

Reference 5

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Observation 6b2f4bb0-2f56-48a9-97ae-634efe972e4d · outbound

This paper cites Nodal and spectral minimal partitions—the state of the art in.

Spectral minimal partitions of unbounded domains Nodal and spectral minimal partitions—the state of the art in

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Observation da73a2f9-d872-4fff-a7ff-1d2ae2098ded · outbound

This paper cites Faber-Krahn inequalities in sharp quantitative form.Duke Math.

Spectral minimal partitions of unbounded domains Faber-Krahn inequalities in sharp quantitative form.Duke Math

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Observation bc67302d-e2a0-40a8-98fa-47b7a31194b9 · outbound

This paper cites Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents.Comm.

Spectral minimal partitions of unbounded domains Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents.Comm

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Observation 9326bc10-683c-42d2-87e3-0e2c974539a2 · outbound

This paper cites Existence results for some optimal partition problems.

Spectral minimal partitions of unbounded domains Existence results for some optimal partition problems

Reference 9

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Observation 2831c1fa-d02a-4cdd-a892-76115f7c2bea · outbound

This paper cites On the existence of optimal potentials on un- bounded domains.SIAM J.

Spectral minimal partitions of unbounded domains On the existence of optimal potentials on un- bounded domains.SIAM J

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source=pdf_text observed=2026-08-04T13:25:42.060134Z digest=sha256:2934a45e315f5fd92c57ef6e898692913c0074ebef87d753a5c4a18900d652dc

Observation 1dffcae2-2c35-49a6-b644-ffa0230ad3f8 · outbound

This paper cites An optimal partition problem for eigenvalues.J.

Spectral minimal partitions of unbounded domains An optimal partition problem for eigenvalues.J

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source=pdf_text observed=2026-08-04T13:25:42.128133Z digest=sha256:a9c5316a141630561a19acac124a4a5ea5b1b26c26aa7d7805876141510d3d25

Observation f7665915-5000-480d-aad1-dceb122196aa · outbound

This paper cites Singularly perturbed elliptic systems and multi-valued harmonic functions with free boundaries.J.

Spectral minimal partitions of unbounded domains Singularly perturbed elliptic systems and multi-valued harmonic functions with free boundaries.J

Reference 12

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Observation 52e04206-af89-434c-86c9-20e054e29b06 · outbound

This paper cites Analysis on the junctions of domain walls.Discrete Contin.

Spectral minimal partitions of unbounded domains Analysis on the junctions of domain walls.Discrete Contin

Reference 13

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Observation 16bfeacd-8ad5-429d-9e58-fcc3267689f6 · outbound

This paper cites A shape optimization problem in cylinders and related overdetermined problems.J.

Spectral minimal partitions of unbounded domains A shape optimization problem in cylinders and related overdetermined problems.J

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Observation cf114012-5beb-4058-8207-bdb0ca3020a6 · outbound

This paper cites Segregated nodal domains of two- dimensional multispecies Bose-Einstein condensates.Phys.

Spectral minimal partitions of unbounded domains Segregated nodal domains of two- dimensional multispecies Bose-Einstein condensates.Phys

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Observation 95d4507e-fb6c-4444-8e07-0374af655fe8 · outbound

This paper cites Positive least energy solutions and phase separation for coupled Schr¨ odinger equations with critical exponent.Arch.

Spectral minimal partitions of unbounded domains Positive least energy solutions and phase separation for coupled Schr¨ odinger equations with critical exponent.Arch

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Observation 3f8f56e8-430e-4948-a727-bfca58e1bbd3 · outbound

This paper cites Positive least energy solutions and phase separation for coupled Schr¨ odinger equations with critical exponent: higher dimensional case.Calc.

Spectral minimal partitions of unbounded domains Positive least energy solutions and phase separation for coupled Schr¨ odinger equations with critical exponent: higher dimensional case.Calc

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Observation cdd989a8-02a4-4407-9410-309d3ccae000 · outbound

This paper cites Yamabe systems, optimal partitions and nodal solutions to the Yamabe equation.J.

Spectral minimal partitions of unbounded domains Yamabe systems, optimal partitions and nodal solutions to the Yamabe equation.J

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Observation 65410cc3-9c33-4565-a50d-6da6265146bb · outbound

This paper cites A simple variational approach to weakly coupled competitive elliptic sys- tems.NoDEA Nonlinear Differential Equations Appl., 26(4):Paper No.

Spectral minimal partitions of unbounded domains A simple variational approach to weakly coupled competitive elliptic sys- tems.NoDEA Nonlinear Differential Equations Appl., 26(4):Paper No

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Observation b4277bf2-3384-4cde-98f6-63d13f8eba0c · outbound

This paper cites Conti, S.

Spectral minimal partitions of unbounded domains Conti, S

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Observation dcaa7366-0797-4d14-975b-8764228ce0a3 · outbound

This paper cites Nehari’s problem and competing species systems.

Spectral minimal partitions of unbounded domains Nehari’s problem and competing species systems

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Observation f0588b20-45ef-43b7-9fe8-4293fe09984b · outbound

This paper cites On a class of optimal partition problems related to the Fuˇ c ´ ık spectrum and to the monotonicity formulae.Calc.

Spectral minimal partitions of unbounded domains On a class of optimal partition problems related to the Fuˇ c ´ ık spectrum and to the monotonicity formulae.Calc

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Observation 76ce0fa1-9983-45db-aadd-11d447583539 · outbound

This paper cites A variational problem for the spatial segregation of reaction-diffusion systems.Indiana Univ.

Spectral minimal partitions of unbounded domains A variational problem for the spatial segregation of reaction-diffusion systems.Indiana Univ

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Observation c85222ed-dad8-4dfa-b28a-a0dc69849e51 · outbound

This paper cites Constant sign and sign changing nls ground states on noncompact metric graphs, 2023.

Spectral minimal partitions of unbounded domains Constant sign and sign changing nls ground states on noncompact metric graphs, 2023

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Observation 6dd2874d-024f-46fd-ae41-78483749e7da · outbound

This paper cites Weak type estimates for singular values and the number of bound states of Schr¨ odinger oper- ators.Ann.

Spectral minimal partitions of unbounded domains Weak type estimates for singular values and the number of bound states of Schr¨ odinger oper- ators.Ann

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Observation 8755da57-da84-4c2c-b883-f1b23f14dd5c · outbound

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Spectral minimal partitions of unbounded domains Unresolved cited work

Reference 26

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Observation a02a58fd-f69a-450c-8390-93932520d140 · outbound

This paper cites The limit equation for the Gross-Pitaevskii equations and S. Terracini’s conjecture.

Spectral minimal partitions of unbounded domains The limit equation for the Gross-Pitaevskii equations and S. Terracini’s conjecture

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Observation 981716b6-459a-40fe-a424-fc471d67e436 · outbound

This paper cites Cambridge University Press, Cambridge, 2023.

Spectral minimal partitions of unbounded domains Cambridge University Press, Cambridge, 2023

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Observation 586c09c0-0c61-4fec-ba35-a7393e794d31 · outbound

This paper cites The spectral determinant of the isotropic quantum harmonic oscillator in arbitrary dimensions.

Spectral minimal partitions of unbounded domains The spectral determinant of the isotropic quantum harmonic oscillator in arbitrary dimensions

Reference 29

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Observation 8384d444-db58-4e16-a9ea-445f37f1edf0 · outbound

This paper cites Dover Publications, Inc., Mineola, NY, 2006.

Spectral minimal partitions of unbounded domains Dover Publications, Inc., Mineola, NY, 2006

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Observation bcc067b3-aa1e-4b04-ac74-65c8a50d2563 · outbound

This paper cites Helffer, T.

Spectral minimal partitions of unbounded domains Helffer, T

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Observation 4191c446-e158-4966-81b2-8cb73d1c7b9f · outbound

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Spectral minimal partitions of unbounded domains Unresolved cited work

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Observation 5723e87b-2cd0-4856-81d6-e6d4dbca8a9f · outbound

This paper cites An existence theory for nonlinear equations on metric graphs via energy methods.

Spectral minimal partitions of unbounded domains An existence theory for nonlinear equations on metric graphs via energy methods

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Observation a160f3f4-a8c9-4a12-9645-88e282b0a18c · outbound

This paper cites Kennedy, and Andrea Serio.

Spectral minimal partitions of unbounded domains Kennedy, and Andrea Serio

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Observation 079d1f07-6ff1-4515-92b0-6afa16ce7f08 · outbound

This paper cites Kennedy, Pavel Kurasov, Corentin L´ ena, and Delio Mugnolo.

Spectral minimal partitions of unbounded domains Kennedy, Pavel Kurasov, Corentin L´ ena, and Delio Mugnolo

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Observation 255ec0aa-c62d-49ec-b3ac-ee2a4e423284 · outbound

This paper cites Bounds on the eigenvalues of the Laplace and Schroedinger operators.Bull.

Spectral minimal partitions of unbounded domains Bounds on the eigenvalues of the Laplace and Schroedinger operators.Bull

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Observation 24d220ea-dacf-486b-aea4-a2e73ff0f8e4 · outbound

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Spectral minimal partitions of unbounded domains Uniform H¨ older bounds for nonlinear Schr¨ odinger systems with strong competition.Comm

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Observation 2954e280-0b83-4d8e-bcae-8830c03634db · outbound

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Spectral minimal partitions of unbounded domains Boundary regularity of the free interface in spectral optimal partition problems

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Observation 755df006-e317-49a6-8970-b79b177c81f5 · outbound

This paper cites Structure of the free interfaces near triple junction singularities in harmonic maps and optimal partition problems.

Spectral minimal partitions of unbounded domains Structure of the free interfaces near triple junction singularities in harmonic maps and optimal partition problems

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Observation 504c04ca-e3bc-41eb-93ac-bd7157e0f731 · outbound

This paper cites Osting, C.D.

Spectral minimal partitions of unbounded domains Osting, C.D

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Observation 6f2f460f-becd-4e8e-a16e-18beb5ab80c5 · outbound

This paper cites Bounds for the discrete part of the spectrum of a semi-bounded schr¨ odinger operator.Mathematica Scandinavica, 8(1):143–153, 1960.

Spectral minimal partitions of unbounded domains Bounds for the discrete part of the spectrum of a semi-bounded schr¨ odinger operator.Mathematica Scandinavica, 8(1):143–153, 1960

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source=pdf_text observed=2026-08-04T13:25:44.924231Z digest=sha256:86ca06f802e1d14cc2aab5b226f5a7351dc68e9f53fa4355741057ecc0221d9c

Observation f6189639-c6d3-4a31-a2a6-29e68d42ec17 · outbound

This paper cites Extremality conditions and regularity of solutions to optimal partition problems involving Laplacian eigenvalues.Arch.

Spectral minimal partitions of unbounded domains Extremality conditions and regularity of solutions to optimal partition problems involving Laplacian eigenvalues.Arch

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Observation c3e4a63e-d40b-400c-9e11-bca84a43f2a3 · outbound

This paper cites Potential and scattering theory on wildly perturbed domains.J.

Spectral minimal partitions of unbounded domains Potential and scattering theory on wildly perturbed domains.J

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Observation c8550d0c-4789-4983-9224-a3528b55ec92 · outbound

This paper cites an unresolved cited work.

Spectral minimal partitions of unbounded domains Unresolved cited work

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Observation 852ce7b6-a2f5-4c1f-b5d5-dca8ed90e40c · outbound

This paper cites an unresolved cited work.

Spectral minimal partitions of unbounded domains Unresolved cited work

Reference 45

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source=pdf_text observed=2026-08-04T13:25:45.170965Z digest=sha256:0a104f118c3a73d3e53ad3e86c4ca2a4a79fde123fa09742d0152233fcd2f050

Observation cccf17ae-d728-478e-9090-ac9f81872c40 · outbound

This paper cites Some aspects of the theory of Schr¨ odinger operators.

Spectral minimal partitions of unbounded domains Some aspects of the theory of Schr¨ odinger operators

Reference 46

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Observation 1dcd8aab-64db-4a4a-a382-6be48e4546a2 · outbound

This paper cites H¨ older bounds and regularity of emerg- ing free boundaries for strongly competing Schr¨ odinger equations with nontrivial grouping.Nonlinear Anal., 138:388–427, 2016.

Spectral minimal partitions of unbounded domains H¨ older bounds and regularity of emerg- ing free boundaries for strongly competing Schr¨ odinger equations with nontrivial grouping.Nonlinear Anal., 138:388–427, 2016

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Observation 7464f5d2-e48e-4bcc-abf0-4238b7da16cd · outbound

This paper cites Uniform bounds for strongly competing systems: the optimal Lipschitz case.

Spectral minimal partitions of unbounded domains Uniform bounds for strongly competing systems: the optimal Lipschitz case

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Observation 1b7079f9-b741-4663-8782-a93fcf2c40c4 · outbound

This paper cites On phase separation in systems of coupled elliptic equations: asymptotic analysis and geometric aspects.Ann.

Spectral minimal partitions of unbounded domains On phase separation in systems of coupled elliptic equations: asymptotic analysis and geometric aspects.Ann

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Observation 5d9d4e4e-313d-4382-8432-de6c89fee032 · outbound

This paper cites Regularity of the nodal set of segregated critical configurations under a weak reflection law.Calc.

Spectral minimal partitions of unbounded domains Regularity of the nodal set of segregated critical configurations under a weak reflection law.Calc

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Observation 990e2e11-6b7d-41e5-abee-a7096c24534b · outbound

This paper cites Sign-changing solutions of competition-diffusion elliptic systems and optimal partition problems.Ann.

Spectral minimal partitions of unbounded domains Sign-changing solutions of competition-diffusion elliptic systems and optimal partition problems.Ann

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Observation 9c3cba76-7432-45d5-83f6-cc5676139d8b · outbound

This paper cites Existence of least energy positive solutions to Schr¨ odinger systems with mixed competition and cooperation terms: the critical case.Calc.

Spectral minimal partitions of unbounded domains Existence of least energy positive solutions to Schr¨ odinger systems with mixed competition and cooperation terms: the critical case.Calc

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source=pdf_text observed=2026-08-04T13:25:45.626062Z digest=sha256:49bd9e1f4252ba63aa98a8686e935eda3356f0c87782474e8399b83e43e472db

Observation a70584f1-556d-41d0-966b-ac5c702e4120 · outbound

This paper cites Least energy positive solutions of critical Schr¨ odinger systems with mixed competition and cooperation terms: the higher dimensional case.J.

Spectral minimal partitions of unbounded domains Least energy positive solutions of critical Schr¨ odinger systems with mixed competition and cooperation terms: the higher dimensional case.J

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Observation 95eb9f34-eb8f-4511-b980-4d4c915bbb45 · outbound

This paper cites De Gruyter Open, Warsaw, 2017.

Spectral minimal partitions of unbounded domains De Gruyter Open, Warsaw, 2017

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