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Abstract:

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.

Registro:

Documento: Artículo
Título:Stability results for the {Mathematical expression}-dimensional Schiffer conjecture via a perturbation method
Autor:Canuto, B.
Filiación:Conicet, Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Esmeralda 2043, Florida, 1602, Argentina
Idioma: Inglés
Palabras clave:Mathematics Subject Classification: 35N05
Año:2013
Página de inicio:1
Página de fin:30
DOI: http://dx.doi.org/10.1007/s00526-013-0637-1
Título revista:Calculus of Variations and Partial Differential Equations
Título revista abreviado:Calc. Var. Partial Differ. Equ.
ISSN:09442669
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09442669_v_n_p1_Canuto

Citas:

---------- APA ----------
(2013) . Stability results for the {Mathematical expression}-dimensional Schiffer conjecture via a perturbation method. Calculus of Variations and Partial Differential Equations, 1-30.
http://dx.doi.org/10.1007/s00526-013-0637-1
---------- CHICAGO ----------
Canuto, B. "Stability results for the {Mathematical expression}-dimensional Schiffer conjecture via a perturbation method" . Calculus of Variations and Partial Differential Equations (2013) : 1-30.
http://dx.doi.org/10.1007/s00526-013-0637-1
---------- MLA ----------
Canuto, B. "Stability results for the {Mathematical expression}-dimensional Schiffer conjecture via a perturbation method" . Calculus of Variations and Partial Differential Equations, 2013, pp. 1-30.
http://dx.doi.org/10.1007/s00526-013-0637-1
---------- VANCOUVER ----------
Canuto, B. Stability results for the {Mathematical expression}-dimensional Schiffer conjecture via a perturbation method. Calc. Var. Partial Differ. Equ. 2013:1-30.
http://dx.doi.org/10.1007/s00526-013-0637-1