An elliptic singular system with nonlocal boundary conditions

We study the existence of solutions for the nonlinear second order elliptic system f(u) + g(u) = f (x), where g C(ℝN\\δ, ℝN) with δ ℝN bounded. Using topological degree methods, we prove an existence result under a geometric condition on g. Moreover, we analyze the particular case of an isolated rep...

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Autores principales: Amster, Pablo Gustavo, Maurette, Manuel
Publicado: 2012
Materias:
Elliptic system
Nonlocal conditions
Singularities
Topological degree
Mathematical techniques
Nonlinear analysis
Existence of Solutions
Non-local boundary conditions
Non-local conditions
Second order elliptic
Topological degree methods
Topology
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v75_n15_p5815_Amster
http://hdl.handle.net/20.500.12110/paper_0362546X_v75_n15_p5815_Amster
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_0362546X_v75_n15_p5815_Amster
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spelling paper:paper_0362546X_v75_n15_p5815_Amster2023-06-08T15:35:24Z An elliptic singular system with nonlocal boundary conditions Amster, Pablo Gustavo Maurette, Manuel Elliptic system Nonlocal conditions Singularities Topological degree Mathematical techniques Nonlinear analysis Elliptic system Existence of Solutions Non-local boundary conditions Non-local conditions Second order elliptic Singularities Topological degree Topological degree methods Topology We study the existence of solutions for the nonlinear second order elliptic system f(u) + g(u) = f (x), where g C(ℝN\\δ, ℝN) with δ ℝN bounded. Using topological degree methods, we prove an existence result under a geometric condition on g. Moreover, we analyze the particular case of an isolated repulsive singularity: under a Nirenberg type condition, we prove the existence of a sequence of solutions of appropriate approximated problems that converges to a generalized solution. © 2012 Elsevier Ltd. All rights reserved. Fil:Amster, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Maurette, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2012 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v75_n15_p5815_Amster http://hdl.handle.net/20.500.12110/paper_0362546X_v75_n15_p5815_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 Elliptic system
Nonlocal conditions
Singularities
Topological degree
Mathematical techniques
Nonlinear analysis
Elliptic system
Existence of Solutions
Non-local boundary conditions
Non-local conditions
Second order elliptic
Singularities
Topological degree
Topological degree methods
Topology
spellingShingle Elliptic system
Nonlocal conditions
Singularities
Topological degree
Mathematical techniques
Nonlinear analysis
Elliptic system
Existence of Solutions
Non-local boundary conditions
Non-local conditions
Second order elliptic
Singularities
Topological degree
Topological degree methods
Topology
Amster, Pablo Gustavo
Maurette, Manuel
An elliptic singular system with nonlocal boundary conditions
topic_facet Elliptic system
Nonlocal conditions
Singularities
Topological degree
Mathematical techniques
Nonlinear analysis
Elliptic system
Existence of Solutions
Non-local boundary conditions
Non-local conditions
Second order elliptic
Singularities
Topological degree
Topological degree methods
Topology
description We study the existence of solutions for the nonlinear second order elliptic system f(u) + g(u) = f (x), where g C(ℝN\\δ, ℝN) with δ ℝN bounded. Using topological degree methods, we prove an existence result under a geometric condition on g. Moreover, we analyze the particular case of an isolated repulsive singularity: under a Nirenberg type condition, we prove the existence of a sequence of solutions of appropriate approximated problems that converges to a generalized solution. © 2012 Elsevier Ltd. All rights reserved.
author Amster, Pablo Gustavo
Maurette, Manuel
author_facet Amster, Pablo Gustavo
Maurette, Manuel
author_sort Amster, Pablo Gustavo
title An elliptic singular system with nonlocal boundary conditions
title_short An elliptic singular system with nonlocal boundary conditions
title_full An elliptic singular system with nonlocal boundary conditions
title_fullStr An elliptic singular system with nonlocal boundary conditions
title_full_unstemmed An elliptic singular system with nonlocal boundary conditions
title_sort elliptic singular system with nonlocal boundary conditions
publishDate 2012
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v75_n15_p5815_Amster
http://hdl.handle.net/20.500.12110/paper_0362546X_v75_n15_p5815_Amster
work_keys_str_mv AT amsterpablogustavo anellipticsingularsystemwithnonlocalboundaryconditions
AT maurettemanuel anellipticsingularsystemwithnonlocalboundaryconditions
AT amsterpablogustavo ellipticsingularsystemwithnonlocalboundaryconditions
AT maurettemanuel ellipticsingularsystemwithnonlocalboundaryconditions
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