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

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.

Guardado en:
Detalles Bibliográficos
Autores principales: Martínez, Sandra Rita, Rossi, Julio Daniel
Publicado: 2003
Materias:
Nonlinear boundary conditions
p-Laplacian
Resonance
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2003_n_p1_Martinez
http://hdl.handle.net/20.500.12110/paper_10726691_v2003_n_p1_Martinez
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_10726691_v2003_n_p1_Martinez
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spelling paper:paper_10726691_v2003_n_p1_Martinez2023-06-08T16:04:50Z Weak solutions for the p-Laplacian with a nonlinear boundary condition at resonance Martínez, Sandra Rita Rossi, Julio Daniel Nonlinear boundary conditions p-Laplacian Resonance 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. 2003 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2003_n_p1_Martinez http://hdl.handle.net/20.500.12110/paper_10726691_v2003_n_p1_Martinez
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-Laplacian
Resonance
spellingShingle Nonlinear boundary conditions
p-Laplacian
Resonance
Martínez, Sandra Rita
Rossi, Julio Daniel
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.
author Martínez, Sandra Rita
Rossi, Julio Daniel
author_facet Martínez, Sandra Rita
Rossi, Julio Daniel
author_sort Martínez, Sandra Rita
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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2003_n_p1_Martinez
http://hdl.handle.net/20.500.12110/paper_10726691_v2003_n_p1_Martinez
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AT rossijuliodaniel weaksolutionsfortheplaplacianwithanonlinearboundaryconditionatresonance
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