Multiple solutions for the p-laplace equation with nonlinear boundary conditions

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In this note, we show the existence of at least three nontrivial solutions to the quasilinear elliptic equation -Δpu + |u|p-2u = f(x,u) in a smooth bounded domain Ω of Rdbl;N with nonlinear boundary conditions |Δu|p-2;∂u/∂v = g(x, u) on ∂Ω. The proof is based on variational arguments. © 2006 Texas S...

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Detalles Bibliográficos
Autor principal: Bonder, J.F.
Formato: JOUR
Materias:
Nonlinear boundary conditions
p-laplace equations
Variational methods
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10726691_v2006_n_p1_Bonder
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_10726691_v2006_n_p1_Bonder2023-10-03T16:02:47Z Multiple solutions for the p-laplace equation with nonlinear boundary conditions Bonder, J.F. Nonlinear boundary conditions p-laplace equations Variational methods In this note, we show the existence of at least three nontrivial solutions to the quasilinear elliptic equation -Δpu + |u|p-2u = f(x,u) in a smooth bounded domain Ω of Rdbl;N with nonlinear boundary conditions |Δu|p-2;∂u/∂v = g(x, u) on ∂Ω. The proof is based on variational arguments. © 2006 Texas State University - San Marcos. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10726691_v2006_n_p1_Bonder
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Nonlinear boundary conditions
p-laplace equations
Variational methods
spellingShingle Nonlinear boundary conditions
p-laplace equations
Variational methods
Bonder, J.F.
Multiple solutions for the p-laplace equation with nonlinear boundary conditions
topic_facet Nonlinear boundary conditions
p-laplace equations
Variational methods
description In this note, we show the existence of at least three nontrivial solutions to the quasilinear elliptic equation -Δpu + |u|p-2u = f(x,u) in a smooth bounded domain Ω of Rdbl;N with nonlinear boundary conditions |Δu|p-2;∂u/∂v = g(x, u) on ∂Ω. The proof is based on variational arguments. © 2006 Texas State University - San Marcos.
format JOUR
author Bonder, J.F.
author_facet Bonder, J.F.
author_sort Bonder, J.F.
title Multiple solutions for the p-laplace equation with nonlinear boundary conditions
title_short Multiple solutions for the p-laplace equation with nonlinear boundary conditions
title_full Multiple solutions for the p-laplace equation with nonlinear boundary conditions
title_fullStr Multiple solutions for the p-laplace equation with nonlinear boundary conditions
title_full_unstemmed Multiple solutions for the p-laplace equation with nonlinear boundary conditions
title_sort multiple solutions for the p-laplace equation with nonlinear boundary conditions
url http://hdl.handle.net/20.500.12110/paper_10726691_v2006_n_p1_Bonder
work_keys_str_mv AT bonderjf multiplesolutionsfortheplaplaceequationwithnonlinearboundaryconditions
_version_ 1807322177062567936

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