Existence for an elliptic system with nonlinear boundary conditions via fixed-point methods

In this paper we prove the existence of nonnegative nontrivial solutions of the system with nonlinear coupling through the boundary given byunder suitable assumptions on the nonlinear terms f and g. For the proof we use a fixed-point argument and the key ingredient is a Liouville type theorem for a...

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Autor principal: Rossi, Julio Daniel
Publicado: 2001
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10799389_v6_n1_p1_Bonder
http://hdl.handle.net/20.500.12110/paper_10799389_v6_n1_p1_Bonder
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_10799389_v6_n1_p1_Bonder
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spelling paper:paper_10799389_v6_n1_p1_Bonder2023-06-08T16:05:37Z Existence for an elliptic system with nonlinear boundary conditions via fixed-point methods Rossi, Julio Daniel In this paper we prove the existence of nonnegative nontrivial solutions of the system with nonlinear coupling through the boundary given byunder suitable assumptions on the nonlinear terms f and g. For the proof we use a fixed-point argument and the key ingredient is a Liouville type theorem for a system of Laplace equations with nonlinear coupling through the boundary of power type in the half space. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2001 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10799389_v6_n1_p1_Bonder http://hdl.handle.net/20.500.12110/paper_10799389_v6_n1_p1_Bonder
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description In this paper we prove the existence of nonnegative nontrivial solutions of the system with nonlinear coupling through the boundary given byunder suitable assumptions on the nonlinear terms f and g. For the proof we use a fixed-point argument and the key ingredient is a Liouville type theorem for a system of Laplace equations with nonlinear coupling through the boundary of power type in the half space.
author Rossi, Julio Daniel
spellingShingle Rossi, Julio Daniel
Existence for an elliptic system with nonlinear boundary conditions via fixed-point methods
author_facet Rossi, Julio Daniel
author_sort Rossi, Julio Daniel
title Existence for an elliptic system with nonlinear boundary conditions via fixed-point methods
title_short Existence for an elliptic system with nonlinear boundary conditions via fixed-point methods
title_full Existence for an elliptic system with nonlinear boundary conditions via fixed-point methods
title_fullStr Existence for an elliptic system with nonlinear boundary conditions via fixed-point methods
title_full_unstemmed Existence for an elliptic system with nonlinear boundary conditions via fixed-point methods
title_sort existence for an elliptic system with nonlinear boundary conditions via fixed-point methods
publishDate 2001
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10799389_v6_n1_p1_Bonder
http://hdl.handle.net/20.500.12110/paper_10799389_v6_n1_p1_Bonder
work_keys_str_mv AT rossijuliodaniel existenceforanellipticsystemwithnonlinearboundaryconditionsviafixedpointmethods
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