Nonlinear elliptic systems

Detalhes bibliográficos
Autor(a) principal: DEFIGUEIREDO,DJAIRO G.
Data de Publicação: 2000
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Anais da Academia Brasileira de Ciências (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652000000400002
Resumo: In this paper we treat the question of the existence of solutions of boundary value problems for systems of nonlinear elliptic equations of the form - deltau = f (x, u, v,<FONT FACE="Symbol">Ñ</FONT>u,<FONT FACE="Symbol">Ñ</FONT>v), - deltav = g(x, u, v, <FONT FACE="Symbol">Ñ</FONT>u, <FONT FACE="Symbol">Ñ</FONT>v), in omega, We discuss several classes of such systems using both variational and topological methods. The notion of criticality takes into consideration the coupling, which plays important roles in both a priori estimates for the solutions and Palais-Smale conditions for the associated functional in the variational case.
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spelling Nonlinear elliptic systemselliptic equationsvariational methodspalais-smale conditionsleray-schauder degreea priori boundsIn this paper we treat the question of the existence of solutions of boundary value problems for systems of nonlinear elliptic equations of the form - deltau = f (x, u, v,<FONT FACE="Symbol">Ñ</FONT>u,<FONT FACE="Symbol">Ñ</FONT>v), - deltav = g(x, u, v, <FONT FACE="Symbol">Ñ</FONT>u, <FONT FACE="Symbol">Ñ</FONT>v), in omega, We discuss several classes of such systems using both variational and topological methods. The notion of criticality takes into consideration the coupling, which plays important roles in both a priori estimates for the solutions and Palais-Smale conditions for the associated functional in the variational case.Academia Brasileira de Ciências2000-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652000000400002Anais da Academia Brasileira de Ciências v.72 n.4 2000reponame:Anais da Academia Brasileira de Ciências (Online)instname:Academia Brasileira de Ciências (ABC)instacron:ABC10.1590/S0001-37652000000400002info:eu-repo/semantics/openAccessDEFIGUEIREDO,DJAIRO G.eng2001-01-05T00:00:00Zoai:scielo:S0001-37652000000400002Revistahttp://www.scielo.br/aabchttps://old.scielo.br/oai/scielo-oai.php||aabc@abc.org.br1678-26900001-3765opendoar:2001-01-05T00:00Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)false
dc.title.none.fl_str_mv Nonlinear elliptic systems
title Nonlinear elliptic systems
spellingShingle Nonlinear elliptic systems
DEFIGUEIREDO,DJAIRO G.
elliptic equations
variational methods
palais-smale conditions
leray-schauder degree
a priori bounds
title_short Nonlinear elliptic systems
title_full Nonlinear elliptic systems
title_fullStr Nonlinear elliptic systems
title_full_unstemmed Nonlinear elliptic systems
title_sort Nonlinear elliptic systems
author DEFIGUEIREDO,DJAIRO G.
author_facet DEFIGUEIREDO,DJAIRO G.
author_role author
dc.contributor.author.fl_str_mv DEFIGUEIREDO,DJAIRO G.
dc.subject.por.fl_str_mv elliptic equations
variational methods
palais-smale conditions
leray-schauder degree
a priori bounds
topic elliptic equations
variational methods
palais-smale conditions
leray-schauder degree
a priori bounds
description In this paper we treat the question of the existence of solutions of boundary value problems for systems of nonlinear elliptic equations of the form - deltau = f (x, u, v,<FONT FACE="Symbol">Ñ</FONT>u,<FONT FACE="Symbol">Ñ</FONT>v), - deltav = g(x, u, v, <FONT FACE="Symbol">Ñ</FONT>u, <FONT FACE="Symbol">Ñ</FONT>v), in omega, We discuss several classes of such systems using both variational and topological methods. The notion of criticality takes into consideration the coupling, which plays important roles in both a priori estimates for the solutions and Palais-Smale conditions for the associated functional in the variational case.
publishDate 2000
dc.date.none.fl_str_mv 2000-12-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652000000400002
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652000000400002
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0001-37652000000400002
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Academia Brasileira de Ciências
publisher.none.fl_str_mv Academia Brasileira de Ciências
dc.source.none.fl_str_mv Anais da Academia Brasileira de Ciências v.72 n.4 2000
reponame:Anais da Academia Brasileira de Ciências (Online)
instname:Academia Brasileira de Ciências (ABC)
instacron:ABC
instname_str Academia Brasileira de Ciências (ABC)
instacron_str ABC
institution ABC
reponame_str Anais da Academia Brasileira de Ciências (Online)
collection Anais da Academia Brasileira de Ciências (Online)
repository.name.fl_str_mv Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)
repository.mail.fl_str_mv ||aabc@abc.org.br
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