| Texto completo | |
| Autor(es): |
Figueiredo, Giovany M.
;
Pimenta, Marcos T. O.
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Electronic Journal of Differential Equations; v. N/A, p. 15-pg., 2015-04-07. |
| Resumo | |
In this work we study an existence and multiplicity of solutions for the prescribed mean-curvature problem with critical growth, -div (del u/root 1+vertical bar del u vertical bar(2)) = lambda vertical bar u vertical bar(q-2) u + vertical bar u vertical bar(2*-2)u in Omega u = 0 on partial derivative Omega, where Omega is a bounded smooth domain of R-N, N >= 3 and 1 < q < 2. To employ variational arguments, we consider an auxiliary problem which is proved to have infinitely many solutions by genus theory. A clever estimate in the gradient of the solutions of the modified problem is necessary to recover solutions of the original problem. (AU) | |
| Processo FAPESP: | 14/16136-1 - Estudo de soluções semiclássicas da equação de Dirac não-linear estacionária |
| Beneficiário: | Marcos Tadeu de Oliveira Pimenta |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |