| Full text | |
| Author(s): |
Figueiredo, Giovany M.
;
Pimenta, Marcos T. O.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Electronic Journal of Differential Equations; v. N/A, p. 15-pg., 2015-04-07. |
| Abstract | |
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) | |
| FAPESP's process: | 14/16136-1 - Study of semiclassical solutions to the stationary nonlinear Dirac equation |
| Grantee: | Marcos Tadeu de Oliveira Pimenta |
| Support Opportunities: | Regular Research Grants |