| Full text | |
| Author(s): |
Nascimento, Arnaldo S.
;
Goncalves, Alexandre C.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Electronic Journal of Differential Equations; v. N/A, p. 18-pg., 2010-05-08. |
| Abstract | |
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) | |
| FAPESP's process: | 06/02023-4 - An elliptic geometric pde on a compact surface |
| Grantee: | Alexandre Casassola Gonçalves |
| Support Opportunities: | Regular Research Grants |