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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todo:paper_10853375_v7_n5_p287_Martinez2023-10-03T16:04:17Z Isolation and simplicity for the first eigenvalue of the p-laplacian with a nonlinear boundary condition 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. JOUR 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) |
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 |
JOUR |
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 |
url |
http://hdl.handle.net/20.500.12110/paper_10853375_v7_n5_p287_Martinez |
work_keys_str_mv |
AT martinezs isolationandsimplicityforthefirsteigenvalueoftheplaplacianwithanonlinearboundarycondition AT rossijd isolationandsimplicityforthefirsteigenvalueoftheplaplacianwithanonlinearboundarycondition |
_version_ |
1807322237471031296 |