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http://repositorio.ufla.br/jspui/handle/1/45523| Title: | Existence of a nontrivial solution for a (p,q)-Laplacian equation with p-critical exponent in RN |
| Keywords: | Critical exponent Nonnegative solution (p,q)$(p,q)$-Laplacian equation Equação de Laplace Expoente crítico Solução não negativa |
| Issue Date: | Nov-2014 |
| Publisher: | Springer Nature |
| Citation: | CHAVES, M. F.; ERCOLE, G.; MIYAGAKI, O. H. Existence of a nontrivial solution for a (p,q)-Laplacian equation with p-critical exponent in RN. Boundary Value Problems, [S.I.], v. 2014, 2014. DOI: https://doi.org/10.1186/s13661-014-0236-x. |
| Abstract: | In this paper we prove the existence of a nontrivial solution in D1,p(RN)∩D1,q(RN) for the following (p,q)-Laplacian problem: {−Δpu−Δqu=λg(x)|u|r−1u+|u|p⋆−2u,u(x)≥0,x∈RN, where 1<q≤p<r+1<p⋆:=NpN−p, p<N, λ>0 is a parameter, Δmu:=div(|∇u|m−2∇u) is the m-Laplacian operator and g∈Lp⋆p⋆−r−1(RN) is positive in an open set. MSC: 35J92, 47J30. |
| URI: | http://repositorio.ufla.br/jspui/handle/1/45523 |
| Appears in Collections: | DEX - Artigos publicados em periódicos |
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