Problemas elípticos com expoente crítico e potencial de Hardy

dc.contributor	Ronaldo Brasileiro Assuncao
dc.contributor	Grey Ercole
dc.contributor	Hamilton Prado Bueno
dc.creator	Daiane Campara Soares
dc.date.accessioned	2019-08-14T06:37:00Z
dc.date.accessioned	2022-10-03T22:19:28Z
dc.date.available	2019-08-14T06:37:00Z
dc.date.available	2022-10-03T22:19:28Z
dc.date.created	2019-08-14T06:37:00Z
dc.date.issued	2013-04-05
dc.identifier	http://hdl.handle.net/1843/EABA-96SJX5
dc.identifier.uri	http://repositorioslatinoamericanos.uchile.cl/handle/2250/3799289
dc.description.abstract	In this dissertation we study results of existence and non-existence for the following class of nonlinear elliptic problems: where RN denotes an open set containing the origin, bounded or not, with N > 4. The equation involves the exponent 2 = 2N/(N - 2), known as critical exponent in the Sobolev inequality, and the term mu(x)/jxj2, which is called Hardy potential. We look for solutions of the problem (P) in the Sobolev space H1 0 () which is defined as is the closure of C¥ 0 () in H1(). To obtain existence results we prove a version of theconcentration-compactness lemma by Lions.
dc.publisher	Universidade Federal de Minas Gerais
dc.publisher	UFMG
dc.rights	Acesso Aberto
dc.subject	Operador laplaciano
dc.subject	Problemas de minimização
dc.subject	Potenciais de Hardy
dc.subject	Expoente crítico de Sobolev
dc.title	Problemas elípticos com expoente crítico e potencial de Hardy
dc.type	Dissertação de Mestrado