On the Fučik spectrum and a resonance problem for the p-Laplacian with a nonlinear boundary condition

In this paper we prove that there exists a first curve of the Fučik spectrum of the problem Δpu = |u|p-2u in Ω with a nonlinear boundary condition given by |∇u| p-2∂u/∂v=x(u+)p-1- β(u -)P-1 on the boundary of the domain. We also prove that there exists a sequence of curves of the Fučik spectrum whic...

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Autores principales: Martinez, S.R., Rossi, J.D.
Formato: JOUR
Materias:
Nonlinear boundary conditions
P-Laplacian
Resonance
Boundary conditions
Differential equations
Eigenvalues and eigenfunctions
Integral equations
Mathematical operators
p-Laplacian
Resonance problems
Problem solving
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0362546X_v59_n6_p813_Martinez
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_0362546X_v59_n6_p813_Martinez2023-10-03T15:27:17Z On the Fučik spectrum and a resonance problem for the p-Laplacian with a nonlinear boundary condition Martinez, S.R. Rossi, J.D. Nonlinear boundary conditions P-Laplacian Resonance Boundary conditions Differential equations Eigenvalues and eigenfunctions Integral equations Mathematical operators Resonance Nonlinear boundary conditions p-Laplacian Resonance problems Problem solving In this paper we prove that there exists a first curve of the Fučik spectrum of the problem Δpu = |u|p-2u in Ω with a nonlinear boundary condition given by |∇u| p-2∂u/∂v=x(u+)p-1- β(u -)P-1 on the boundary of the domain. We also prove that there exists a sequence of curves of the Fučik spectrum which exist locally in the neighborhood of suitable eigenvalues of the p-Laplacian with a nonlinear boundary condition. Finally, we study a resonance problem with respect to the Fučik spectrum. © 2004 Published by Elsevier Ltd. Fil:Martinez, S.R. 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_0362546X_v59_n6_p813_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
Boundary conditions
Differential equations
Eigenvalues and eigenfunctions
Integral equations
Mathematical operators
Resonance
Nonlinear boundary conditions
p-Laplacian
Resonance problems
Problem solving
spellingShingle Nonlinear boundary conditions
P-Laplacian
Resonance
Boundary conditions
Differential equations
Eigenvalues and eigenfunctions
Integral equations
Mathematical operators
Resonance
Nonlinear boundary conditions
p-Laplacian
Resonance problems
Problem solving
Martinez, S.R.
Rossi, J.D.
On the Fučik spectrum and a resonance problem for the p-Laplacian with a nonlinear boundary condition
topic_facet Nonlinear boundary conditions
P-Laplacian
Resonance
Boundary conditions
Differential equations
Eigenvalues and eigenfunctions
Integral equations
Mathematical operators
Resonance
Nonlinear boundary conditions
p-Laplacian
Resonance problems
Problem solving
description In this paper we prove that there exists a first curve of the Fučik spectrum of the problem Δpu = |u|p-2u in Ω with a nonlinear boundary condition given by |∇u| p-2∂u/∂v=x(u+)p-1- β(u -)P-1 on the boundary of the domain. We also prove that there exists a sequence of curves of the Fučik spectrum which exist locally in the neighborhood of suitable eigenvalues of the p-Laplacian with a nonlinear boundary condition. Finally, we study a resonance problem with respect to the Fučik spectrum. © 2004 Published by Elsevier Ltd.
format JOUR
author Martinez, S.R.
Rossi, J.D.
author_facet Martinez, S.R.
Rossi, J.D.
author_sort Martinez, S.R.
title On the Fučik spectrum and a resonance problem for the p-Laplacian with a nonlinear boundary condition
title_short On the Fučik spectrum and a resonance problem for the p-Laplacian with a nonlinear boundary condition
title_full On the Fučik spectrum and a resonance problem for the p-Laplacian with a nonlinear boundary condition
title_fullStr On the Fučik spectrum and a resonance problem for the p-Laplacian with a nonlinear boundary condition
title_full_unstemmed On the Fučik spectrum and a resonance problem for the p-Laplacian with a nonlinear boundary condition
title_sort on the fučik spectrum and a resonance problem for the p-laplacian with a nonlinear boundary condition
url http://hdl.handle.net/20.500.12110/paper_0362546X_v59_n6_p813_Martinez
work_keys_str_mv AT martinezsr onthefucikspectrumandaresonanceproblemfortheplaplacianwithanonlinearboundarycondition
AT rossijd onthefucikspectrumandaresonanceproblemfortheplaplacianwithanonlinearboundarycondition
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