Isolation and simplicity for the first eigenvalue of the p-laplacian with a nonlinear boundary condition

We prove the simplicity and isolation of the first eigenvalue for the problem Δ pu = |u| p-2u in a bounded smooth domain Ω 〈 ℝ N, with a nonlinear boundary condition given by |∇u| p-2∂u/∂v = λ |u| p-2u on the boundary of the domain. Copyright © 2002 Hindawi Publishing Corporation.

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Autores principales: Martínez, S., Rossi, J.D.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2002
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10853375_v7_n5_p287_Martinez
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spelling paperaa:paper_10853375_v7_n5_p287_Martinez2023-06-12T16:49:39Z Isolation and simplicity for the first eigenvalue of the p-laplacian with a nonlinear boundary condition Abstr. Appl. Anal. 2002;7(5):287-293 Martínez, S. Rossi, J.D. We prove the simplicity and isolation of the first eigenvalue for the problem Δ pu = |u| p-2u in a bounded smooth domain Ω 〈 ℝ N, with a nonlinear boundary condition given by |∇u| p-2∂u/∂v = λ |u| p-2u on the boundary of the domain. Copyright © 2002 Hindawi Publishing Corporation. Fil:Martínez, S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2002 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10853375_v7_n5_p287_Martinez
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language Inglés
orig_language_str_mv eng
description We prove the simplicity and isolation of the first eigenvalue for the problem Δ pu = |u| p-2u in a bounded smooth domain Ω 〈 ℝ N, with a nonlinear boundary condition given by |∇u| p-2∂u/∂v = λ |u| p-2u on the boundary of the domain. Copyright © 2002 Hindawi Publishing Corporation.
format Artículo
Artículo
publishedVersion
author Martínez, S.
Rossi, J.D.
spellingShingle Martínez, S.
Rossi, J.D.
Isolation and simplicity for the first eigenvalue of the p-laplacian with a nonlinear boundary condition
author_facet Martínez, S.
Rossi, J.D.
author_sort Martínez, S.
title Isolation and simplicity for the first eigenvalue of the p-laplacian with a nonlinear boundary condition
title_short Isolation and simplicity for the first eigenvalue of the p-laplacian with a nonlinear boundary condition
title_full Isolation and simplicity for the first eigenvalue of the p-laplacian with a nonlinear boundary condition
title_fullStr Isolation and simplicity for the first eigenvalue of the p-laplacian with a nonlinear boundary condition
title_full_unstemmed Isolation and simplicity for the first eigenvalue of the p-laplacian with a nonlinear boundary condition
title_sort isolation and simplicity for the first eigenvalue of the p-laplacian with a nonlinear boundary condition
publishDate 2002
url http://hdl.handle.net/20.500.12110/paper_10853375_v7_n5_p287_Martinez
work_keys_str_mv AT martinezs isolationandsimplicityforthefirsteigenvalueoftheplaplacianwithanonlinearboundarycondition
AT rossijd isolationandsimplicityforthefirsteigenvalueoftheplaplacianwithanonlinearboundarycondition
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