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

Mostrar todas las versiones(3)

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...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autor principal: Bonder, J.F.
Formato: Artículo publishedVersion
Publicado: 2006
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
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10726691_v2006_n_p1_Bonder_oai
Aporte de:
Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires
id I28-R145-paper_10726691_v2006_n_p1_Bonder_oai
record_format dspace
spelling I28-R145-paper_10726691_v2006_n_p1_Bonder_oai2024-08-16 Bonder, J.F. 2006 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. application/pdf http://hdl.handle.net/20.500.12110/paper_10726691_v2006_n_p1_Bonder info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Electron. J. Differ. Equ. 2006;2006:1-7 Nonlinear boundary conditions p-laplace equations Variational methods Multiple solutions for the p-laplace equation with nonlinear boundary conditions info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10726691_v2006_n_p1_Bonder_oai
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-145
collection Repositorio Digital de la Universidad de Buenos Aires (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 Artículo
Artículo
publishedVersion
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
publishDate 2006
url http://hdl.handle.net/20.500.12110/paper_10726691_v2006_n_p1_Bonder
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10726691_v2006_n_p1_Bonder_oai
work_keys_str_mv AT bonderjf multiplesolutionsfortheplaplaceequationwithnonlinearboundaryconditions
_version_ 1809357112086626304

Ejemplares similares