Existência, multiplicidade e concentração de soluções positivas para uma classe de problemas quasilineares em espaços de Orlicz-Sobolev
In this work we establish existence, multiplicity and concentration of positive solutions for the following class of problem 8<: div 2 ( jruj)ru + V (x) (juj)u = f(u); in RN; u 2 W1; (RN); u > 0 in RN; where N 2, is a positive parameter, ; V; f are functions satisfying technical conditions tha...
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| Tipo de recurso: | tesis doctoral |
| Estado: | Versión publicada |
| Fecha de publicación: | 2016 |
| País: | Brasil |
| Institución: | Universidade Federal da Paraíba (UFPB) |
| Repositorio: | Biblioteca Digital de Teses e Dissertações da UFPB |
| Idioma: | portugués |
| OAI Identifier: | oai:repositorio.ufpb.br:tede/9258 |
| Acceso en línea: | https://repositorio.ufpb.br/jspui/handle/tede/9258 |
| Access Level: | acceso abierto |
| Palabra clave: | N-função Espaços de Orlicz-Sobolev Métodos Variacionais Categoria de Lusternik-Schnirelman Solução Positiva N-function Orlicz-Sobolev spaces Variational methods Lusternik-Schnirelman of category Positive solution CIENCIAS EXATAS E DA TERRA::MATEMATICA |
| Sumario: | In this work we establish existence, multiplicity and concentration of positive solutions for the following class of problem 8<: div 2 ( jruj)ru + V (x) (juj)u = f(u); in RN; u 2 W1; (RN); u > 0 in RN; where N 2, is a positive parameter, ; V; f are functions satisfying technical conditions that will be presented throughout the thesis and (t) = Rjtj 0 (s)sds. The main tools used are Variational methods, Lusternik-Schnirelman of category, Penalization methods and properties of Orlicz-Sobolev spaces. |
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