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Previous issue date: 2013-12-13 / Conselho Nacional de Pesquisa e Desenvolvimento Científico e Tecnológico - CNPq / In this dissertation we analyze questions of existence of a weak solution for a class
of superlineares elliptic Dirichlet problems. Here we do not consider the Ambrosseti
Rabinovitz condition , which restricts some nonlinearities. We obtain main results of
this dissertation via Variational Methods, such as Mountain Pass Theorem and Linking
Theorem. Furthermore, weusePalais-Smalecondition(P.S.) or Cerami condition(Ce) / Nesta dissertação analisamos questões de existência de uma solução fraca para uma classe de problemas de Dirichlet elípticos superlineares. Aqui não consideramos a condição deAmbrosetti-Rabinowitz,a qual restringealgumasfunçõesnão lineares. Obtemos os principais resultados desta dissertação via Métodos variacionais, tais como o Teorema do Passo da Montanha e um Teorema de Linking. Além disso, utilizamos a
TeoriaEspectral e ascondições dePalais-Smale(P.S.) eCerami(Ce).
| Identifer | oai:union.ndltd.org:IBICT/oai:repositorio.bc.ufg.br:tde/2968 |
| Date | 13 December 2013 |
| Creators | Cavalcante, Thiago Rodrigues |
| Contributors | Silva, Edcarlos Domingos da, Silva, Edcarlos Domingos da, Cardoso, José Anderson Valença, Carvalho, Marcos Leandro Mendes |
| Publisher | Universidade Federal de Goiás, Programa de Pós-graduação em Matemática (IME), UFG, Brasil, Instituto de Matemática e Estatística - IME (RG) |
| Source Sets | IBICT Brazilian ETDs |
| Language | Portuguese |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/masterThesis |
| Format | application/pdf |
| Source | reponame:Biblioteca Digital de Teses e Dissertações da UFG, instname:Universidade Federal de Goiás, instacron:UFG |
| Rights | http://creativecommons.org/licenses/by-nc-nd/4.0/, info:eu-repo/semantics/openAccess |
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