Stability results for the {Mathematical expression}-dimensional Schiffer conjecture via a perturbation method

Given a eigenvalue {Mathematical expression} of {Mathematical expression} in the unit ball {Mathematical expression}, with Neumann boundary conditions, we prove that there exists a class {Mathematical expression} of {Mathematical expression}-domains, depending on {Mathematical expression}, such that...

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Autor principal: Canuto, B.
Formato: INPR
Lenguaje:English
Materias:
Mathematics Subject Classification: 35N05
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_09442669_v_n_p1_Canuto
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_09442669_v_n_p1_Canuto2023-10-03T15:49:14Z Stability results for the {Mathematical expression}-dimensional Schiffer conjecture via a perturbation method Canuto, B. Mathematics Subject Classification: 35N05 Given a eigenvalue {Mathematical expression} of {Mathematical expression} in the unit ball {Mathematical expression}, with Neumann boundary conditions, we prove that there exists a class {Mathematical expression} of {Mathematical expression}-domains, depending on {Mathematical expression}, such that if {Mathematical expression} is a no trivial solution to the following problem {Mathematical expression} in {Mathematical expression} on {Mathematical expression}, and {Mathematical expression}, with {Mathematical expression}, and {Mathematical expression}, then {Mathematical expression} is a ball. Here {Mathematical expression} is a eigenvalue of {Mathematical expression} in {Mathematical expression}, with Neumann boundary conditions. © 2013 Springer-Verlag Berlin Heidelberg. Fil:Canuto, B. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. INPR English info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_09442669_v_n_p1_Canuto
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language English
orig_language_str_mv English
topic Mathematics Subject Classification: 35N05
spellingShingle Mathematics Subject Classification: 35N05
Canuto, B.
Stability results for the {Mathematical expression}-dimensional Schiffer conjecture via a perturbation method
topic_facet Mathematics Subject Classification: 35N05
description Given a eigenvalue {Mathematical expression} of {Mathematical expression} in the unit ball {Mathematical expression}, with Neumann boundary conditions, we prove that there exists a class {Mathematical expression} of {Mathematical expression}-domains, depending on {Mathematical expression}, such that if {Mathematical expression} is a no trivial solution to the following problem {Mathematical expression} in {Mathematical expression} on {Mathematical expression}, and {Mathematical expression}, with {Mathematical expression}, and {Mathematical expression}, then {Mathematical expression} is a ball. Here {Mathematical expression} is a eigenvalue of {Mathematical expression} in {Mathematical expression}, with Neumann boundary conditions. © 2013 Springer-Verlag Berlin Heidelberg.
format INPR
author Canuto, B.
author_facet Canuto, B.
author_sort Canuto, B.
title Stability results for the {Mathematical expression}-dimensional Schiffer conjecture via a perturbation method
title_short Stability results for the {Mathematical expression}-dimensional Schiffer conjecture via a perturbation method
title_full Stability results for the {Mathematical expression}-dimensional Schiffer conjecture via a perturbation method
title_fullStr Stability results for the {Mathematical expression}-dimensional Schiffer conjecture via a perturbation method
title_full_unstemmed Stability results for the {Mathematical expression}-dimensional Schiffer conjecture via a perturbation method
title_sort stability results for the {mathematical expression}-dimensional schiffer conjecture via a perturbation method
url http://hdl.handle.net/20.500.12110/paper_09442669_v_n_p1_Canuto
work_keys_str_mv AT canutob stabilityresultsforthemathematicalexpressiondimensionalschifferconjectureviaaperturbationmethod
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