| dc.creator | Montenegro, M | |
| dc.creator | Silva, EAB | |
| dc.date | 2012 | |
| dc.date | 2014-08-01T18:17:59Z | |
| dc.date | 2015-11-26T17:58:09Z | |
| dc.date | 2014-08-01T18:17:59Z | |
| dc.date | 2015-11-26T17:58:09Z | |
| dc.date.accessioned | 2018-03-29T00:41:45Z | |
| dc.date.available | 2018-03-29T00:41:45Z | |
| dc.identifier | Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze. Scuola Normale Superiore, v. 11, n. 1, n. 143, n. 165, 2012. | |
| dc.identifier | 0391-173X | |
| dc.identifier | WOS:000303851100004 | |
| dc.identifier | http://www.repositorio.unicamp.br/jspui/handle/REPOSIP/76805 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/76805 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1291673 | |
| dc.description | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
| dc.description | We find two nontrivial solutions of the equation -Delta u = (- 1/u(beta) + lambda u(p)) chi({u > 0}) in Omega with Dirichlet boundary condition, where 0 < beta < 1 and 0 < p < 1. In the first approach we consider a sequence of epsilon-problems with 1/u(beta) replaced by u(q)/(u + epsilon)(q-beta) with 0 < q < p < 1. When the parameter lambda > 0 is large enough, we find two critical points of the corresponding epsilon-functional which, at the limit as epsilon -> 0, give rise to two distinct nonnegative solutions of the original problem. Another approach is based on perturbations of the domain Omega, we then find a unique positive solution for lambda large enough. We derive gradient estimates to guarantee convergence of approximate solutions u(epsilon) to a true solution u of the problem. | |
| dc.description | 11 | |
| dc.description | 1 | |
| dc.description | 143 | |
| dc.description | 165 | |
| dc.description | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
| dc.description | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
| dc.language | en | |
| dc.publisher | Scuola Normale Superiore | |
| dc.publisher | Pisa | |
| dc.publisher | Itália | |
| dc.relation | Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze | |
| dc.relation | Ann. Scuola Norm. Super. Pisa-Cl. Sci. | |
| dc.rights | fechado | |
| dc.source | Web of Science | |
| dc.subject | Gierer-meinhardt System | |
| dc.subject | Boundary-value Problem | |
| dc.subject | Nonlinearity | |
| dc.subject | Regularity | |
| dc.subject | Existence | |
| dc.title | Two solutions for a singular elliptic equation by variational methods | |
| dc.type | Artículos de revistas | |
