| Texto completo | |
| Autor(es): |
Nascimento, Arnaldo S.
;
Goncalves, Alexandre C.
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Electronic Journal of Differential Equations; v. N/A, p. 18-pg., 2010-05-08. |
| Resumo | |
We prove the nonexistence of nonconstant local minimizers for a class of functionals, which typically appear in scalar two-phase field models, over smooth N-dimensional Riemannian manifolds without boundary and non-negative Ricci curvature. Conversely, for a class of surfaces possessing a simple closed geodesic along which the Gauss curvature is negative, we prove the existence of nonconstant local minimizers for the same class of functionals. (AU) | |
| Processo FAPESP: | 06/02023-4 - Estudo de uma EDP elíptica geométrica em uma superfície compacta |
| Beneficiário: | Alexandre Casassola Gonçalves |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |