Publicação
A Positive Solution of a Schrödinger-Poisson System with Critical Exponent
| Resumo: | We use variational methods to study the existence of at least one positive solution of the following Schrödinger-Poisson system {-δu+u+l(x) φu=k(x)u2*-2+u+μh(x)uq-2 in R3, -δφ = l(x)u2 in R3, under some suitable conditions on the non-negative functions l, k,h and constant μ > 0, where 2 ≤ q < 2* (critical Sobolev exponent). |
|---|---|
| Autores principais: | Huang, Lirong |
| Outros Autores: | Rocha, Eugénio M. |
| Assunto: | Critical growth Positive solution Schrodinger-poisson system Variational methods |
| Ano: | 2013 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade de Aveiro |
| Idioma: | inglês |
| Origem: | RIA - Repositório Institucional da Universidade de Aveiro |
| Resumo: | We use variational methods to study the existence of at least one positive solution of the following Schrödinger-Poisson system {-δu+u+l(x) φu=k(x)u2*-2+u+μh(x)uq-2 in R3, -δφ = l(x)u2 in R3, under some suitable conditions on the non-negative functions l, k,h and constant μ > 0, where 2 ≤ q < 2* (critical Sobolev exponent). |
|---|