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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Detalles Bibliográficos
Autores principales:	Martínez, S., Rossi, J.D.
Formato:	JOUR
Materias:	Nonlinear boundary conditions p-Laplacian Resonance
Acceso en línea:	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	todo:paper_10726691_v2003_n_p1_Martinez
record_format	dspace
spelling	todo:paper_10726691_v2003_n_p1_Martinez2023-10-03T16:02:46Z Weak solutions for the p-Laplacian with a nonlinear boundary condition at resonance 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. JOUR 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)
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	JOUR
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
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_	1807323068157132800

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

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