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.
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2003
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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10726691_v2003_n_p1_Martinez |
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paperaa:paper_10726691_v2003_n_p1_Martinez2023-06-12T16:49:29Z Weak solutions for the p-Laplacian with a nonlinear boundary condition at resonance Electron. J. Differ. Equ. 2003;2003:1-14 Martínez, S. Rossi, J.D. 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 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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) |
language |
Inglés |
orig_language_str_mv |
eng |
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 |
work_keys_str_mv |
AT martinezs weaksolutionsfortheplaplacianwithanonlinearboundaryconditionatresonance AT rossijd weaksolutionsfortheplaplacianwithanonlinearboundaryconditionatresonance |
_version_ |
1769810344745631744 |