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.

Detalles Bibliográficos
Autores principales: Martínez, Sandra Rita, Rossi, Julio Daniel
Publicado: 2002
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10853375_v7_n5_p287_Martinez
http://hdl.handle.net/20.500.12110/paper_10853375_v7_n5_p287_Martinez
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_10853375_v7_n5_p287_Martinez
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spelling paper:paper_10853375_v7_n5_p287_Martinez2023-06-08T16:06:07Z Isolation and simplicity for the first eigenvalue of the p-laplacian with a nonlinear boundary condition Martínez, Sandra Rita Rossi, Julio Daniel 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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10853375_v7_n5_p287_Martinez 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)
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.
author Martínez, Sandra Rita
Rossi, Julio Daniel
spellingShingle Martínez, Sandra Rita
Rossi, Julio Daniel
Isolation and simplicity for the first eigenvalue of the p-laplacian with a nonlinear boundary condition
author_facet Martínez, Sandra Rita
Rossi, Julio Daniel
author_sort Martínez, Sandra Rita
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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10853375_v7_n5_p287_Martinez
http://hdl.handle.net/20.500.12110/paper_10853375_v7_n5_p287_Martinez
work_keys_str_mv AT martinezsandrarita isolationandsimplicityforthefirsteigenvalueoftheplaplacianwithanonlinearboundarycondition
AT rossijuliodaniel isolationandsimplicityforthefirsteigenvalueoftheplaplacianwithanonlinearboundarycondition
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