Weak solutions for the p-Laplacian with a nonlinear boundary condition at resonance

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We study the existence of weak solutions to the equation Δpu = |u|p-2u + f(x, u) with the nonlinear boundary condition |∇u|p-2∂u/∂v = λ|u|p-2u - h(x, u). We assume Landesman-Lazer type conditions and use variational arguments to prove the existence of solutions.

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Autores principales: Martínez, S., Rossi, J.D.
Formato: Artículo publishedVersion
Publicado: 2003
Materias:
Nonlinear boundary conditions
p-Laplacian
Resonance
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10726691_v2003_n_p1_Martinez
http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10726691_v2003_n_p1_Martinez_oai
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Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires
id I28-R145-paper_10726691_v2003_n_p1_Martinez_oai
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spelling I28-R145-paper_10726691_v2003_n_p1_Martinez_oai2020-10-19 Martínez, S. Rossi, J.D. 2003 We study the existence of weak solutions to the equation Δpu = |u|p-2u + f(x, u) with the nonlinear boundary condition |∇u|p-2∂u/∂v = λ|u|p-2u - h(x, u). We assume Landesman-Lazer type conditions and use variational arguments to prove the existence of solutions. 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. application/pdf http://hdl.handle.net/20.500.12110/paper_10726691_v2003_n_p1_Martinez info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Electron. J. Differ. Equ. 2003;2003:1-14 Nonlinear boundary conditions p-Laplacian Resonance Weak solutions for the p-Laplacian with a nonlinear boundary condition at resonance info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10726691_v2003_n_p1_Martinez_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-Laplacian
Resonance
spellingShingle Nonlinear boundary conditions
p-Laplacian
Resonance
Martínez, S.
Rossi, J.D.
Weak solutions for the p-Laplacian with a nonlinear boundary condition at resonance
topic_facet Nonlinear boundary conditions
p-Laplacian
Resonance
description We study the existence of weak solutions to the equation Δpu = |u|p-2u + f(x, u) with the nonlinear boundary condition |∇u|p-2∂u/∂v = λ|u|p-2u - h(x, u). We assume Landesman-Lazer type conditions and use variational arguments to prove the existence of solutions.
format Artículo
Artículo
publishedVersion
author Martínez, S.
Rossi, J.D.
author_facet Martínez, S.
Rossi, J.D.
author_sort Martínez, S.
title Weak solutions for the p-Laplacian with a nonlinear boundary condition at resonance
title_short Weak solutions for the p-Laplacian with a nonlinear boundary condition at resonance
title_full Weak solutions for the p-Laplacian with a nonlinear boundary condition at resonance
title_fullStr Weak solutions for the p-Laplacian with a nonlinear boundary condition at resonance
title_full_unstemmed Weak solutions for the p-Laplacian with a nonlinear boundary condition at resonance
title_sort weak solutions for the p-laplacian with a nonlinear boundary condition at resonance
publishDate 2003
url http://hdl.handle.net/20.500.12110/paper_10726691_v2003_n_p1_Martinez
http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10726691_v2003_n_p1_Martinez_oai
work_keys_str_mv AT martinezs weaksolutionsfortheplaplacianwithanonlinearboundaryconditionatresonance
AT rossijd weaksolutionsfortheplaplacianwithanonlinearboundaryconditionatresonance
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