| dc.creator | Montenegro, M | |
| dc.creator | de Queiroz, OS | |
| dc.creator | Teixeira, E | |
| dc.date | 2011 | |
| dc.date | SEP | |
| dc.date | 2014-07-30T17:31:59Z | |
| dc.date | 2015-11-26T17:46:01Z | |
| dc.date | 2014-07-30T17:31:59Z | |
| dc.date | 2015-11-26T17:46:01Z | |
| dc.date.accessioned | 2018-03-29T00:28:29Z | |
| dc.date.available | 2018-03-29T00:28:29Z | |
| dc.identifier | Mathematische Annalen. Springer, v. 351, n. 1, n. 215, n. 250, 2011. | |
| dc.identifier | 0025-5831 | |
| dc.identifier | WOS:000293472800009 | |
| dc.identifier | 10.1007/s00208-010-0591-6 | |
| dc.identifier | http://www.repositorio.unicamp.br/jspui/handle/REPOSIP/66290 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/66290 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1288363 | |
| 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 establish existence and sharp regularity results for solutions to singular elliptic equations of the order u(-beta), 0 < beta < 1, with gradient dependence and involving a forcing term lambda f (x, u). Our approach is based on a singularly perturbed technique. We show that if the forcing parameter lambda > 0 is large enough, our solution is positive. For lambda small solutions vanish on a nontrivial set and therefore they exhibit free boundaries. We also establish regularity results for the free boundary and study the asymptotic behavior of the problem as beta SE arrow 0 and beta NE arrow 1. In the former, we show that our solutions u(beta) converge to a C(1,1) function which is a solution to an obstacle type problem. When beta NE arrow 1 we recover the Alt-Caffarelli theory. | |
| dc.description | 351 | |
| dc.description | 1 | |
| dc.description | 215 | |
| dc.description | 250 | |
| 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.description | FAPESP [2008/01458-2] | |
| dc.language | en | |
| dc.publisher | Springer | |
| dc.publisher | New York | |
| dc.publisher | EUA | |
| dc.relation | Mathematische Annalen | |
| dc.relation | Math. Ann. | |
| dc.rights | fechado | |
| dc.rights | http://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0 | |
| dc.source | Web of Science | |
| dc.subject | Free-boundary Problem | |
| dc.subject | Minimum Problem | |
| dc.subject | Nonlinearity | |
| dc.title | Existence and regularity properties of non-isotropic singular elliptic equations | |
| dc.type | Artículos de revistas | |
