Artículo
Da Silva, J.V.; Rossi, J.D.; Salort, A.M. "Uniform stability of the ball with respect to the first dirichlet and neumann ∞-eigenvalues" (2018) Electronic Journal of Differential Equations. 2018
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Abstract:
In this note we analyze how perturbations of a ball Br ⊂ ℝn behaves in terms of their first (non-trivial) Neumann and Dirichlet ∞-eigenvalues when a volume constraint Ln(Ω) = Ln(Br) is imposed. Our main result states that Ω is uniformly close to a ball when it has first Neumann and Dirichlet eigenvalues close to the ones for the ball of the same volume Br. In fact, we show that, if (Formula presented) then there are two balls such that (Formula presented) In addition, we obtain a result concerning stability of the Dirichlet ∞-eigenfunctions. © 2018 Texas State University.
Registro:
| Documento: | Artículo |
| Título: | Uniform stability of the ball with respect to the first dirichlet and neumann ∞-eigenvalues |
| Autor: | Da Silva, J.V.; Rossi, J.D.; Salort, A.M. |
| Filiación: | Departamento de Matemática, FCEyN, Universidad de Buenos Aires, IMAS - CONICET Ciudad Universitaria, Pabellón I, Av. Cantilo s/n, Buenos Aires, 1428, Argentina |
| Palabras clave: | Approximation of domains; ∞-eigenvalue problem; ∞-eigenvalues estimates |
| Año: | 2018 |
| Volumen: | 2018 |
| Título revista: | Electronic Journal of Differential Equations |
| Título revista abreviado: | Electron. J. Differ. Equ. |
| ISSN: | 10726691 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2018_n_p_DaSilva |
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Citas:
---------- APA ----------
Da Silva, J.V., Rossi, J.D. & Salort, A.M. (2018) . Uniform stability of the ball with respect to the first dirichlet and neumann ∞-eigenvalues. Electronic Journal of Differential Equations, 2018.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2018_n_p_DaSilva [ ]
---------- CHICAGO ----------
Da Silva, J.V., Rossi, J.D., Salort, A.M. "Uniform stability of the ball with respect to the first dirichlet and neumann ∞-eigenvalues" . Electronic Journal of Differential Equations 2018 (2018).Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2018_n_p_DaSilva [ ]
---------- MLA ----------
Da Silva, J.V., Rossi, J.D., Salort, A.M. "Uniform stability of the ball with respect to the first dirichlet and neumann ∞-eigenvalues" . Electronic Journal of Differential Equations, vol. 2018, 2018.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2018_n_p_DaSilva [ ]
---------- VANCOUVER ----------
Da Silva, J.V., Rossi, J.D., Salort, A.M. Uniform stability of the ball with respect to the first dirichlet and neumann ∞-eigenvalues. Electron. J. Differ. Equ. 2018;2018.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2018_n_p_DaSilva [ ]
