A Nonlinear Problem Depending on the Unknown Dirichlet Values of the Solution

A Neumann boundary value problem for a general two ion electro-diffusion model is studied. Unlike classical second order Neumann problems, the nonlinear equation considered in this work has the particularity that it depends on the unknown Dirichlet values of the solution. Using Leray-Schauder topolo...

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Detalles Bibliográficos
Autor principal: Amster, Pablo Gustavo
Publicado: 2010
Materias:
Landesman-Lazer conditions
Topological degree
Two-ion electro-diffusion models
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09713514_v18_n4_p363_Amster
http://hdl.handle.net/20.500.12110/paper_09713514_v18_n4_p363_Amster
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_09713514_v18_n4_p363_Amster
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spelling paper:paper_09713514_v18_n4_p363_Amster2023-06-08T15:59:10Z A Nonlinear Problem Depending on the Unknown Dirichlet Values of the Solution Amster, Pablo Gustavo Landesman-Lazer conditions Topological degree Two-ion electro-diffusion models A Neumann boundary value problem for a general two ion electro-diffusion model is studied. Unlike classical second order Neumann problems, the nonlinear equation considered in this work has the particularity that it depends on the unknown Dirichlet values of the solution. Using Leray-Schauder topological degree, we prove the existence of at least one solution under non-asymptotic conditions of Landesman-Lazer type. © 2010 Foundation for Scientific Research and Technological Innovation. Fil:Amster, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2010 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09713514_v18_n4_p363_Amster http://hdl.handle.net/20.500.12110/paper_09713514_v18_n4_p363_Amster
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Landesman-Lazer conditions
Topological degree
Two-ion electro-diffusion models
spellingShingle Landesman-Lazer conditions
Topological degree
Two-ion electro-diffusion models
Amster, Pablo Gustavo
A Nonlinear Problem Depending on the Unknown Dirichlet Values of the Solution
topic_facet Landesman-Lazer conditions
Topological degree
Two-ion electro-diffusion models
description A Neumann boundary value problem for a general two ion electro-diffusion model is studied. Unlike classical second order Neumann problems, the nonlinear equation considered in this work has the particularity that it depends on the unknown Dirichlet values of the solution. Using Leray-Schauder topological degree, we prove the existence of at least one solution under non-asymptotic conditions of Landesman-Lazer type. © 2010 Foundation for Scientific Research and Technological Innovation.
author Amster, Pablo Gustavo
author_facet Amster, Pablo Gustavo
author_sort Amster, Pablo Gustavo
title A Nonlinear Problem Depending on the Unknown Dirichlet Values of the Solution
title_short A Nonlinear Problem Depending on the Unknown Dirichlet Values of the Solution
title_full A Nonlinear Problem Depending on the Unknown Dirichlet Values of the Solution
title_fullStr A Nonlinear Problem Depending on the Unknown Dirichlet Values of the Solution
title_full_unstemmed A Nonlinear Problem Depending on the Unknown Dirichlet Values of the Solution
title_sort nonlinear problem depending on the unknown dirichlet values of the solution
publishDate 2010
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09713514_v18_n4_p363_Amster
http://hdl.handle.net/20.500.12110/paper_09713514_v18_n4_p363_Amster
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