| dc.creator | Montenegro, M | |
| dc.creator | Lorca, S | |
| dc.date | 2013 | |
| dc.date | 2014-07-30T17:37:04Z | |
| dc.date | 2015-11-26T17:42:19Z | |
| dc.date | 2014-07-30T17:37:04Z | |
| dc.date | 2015-11-26T17:42:19Z | |
| dc.date.accessioned | 2018-03-29T00:24:12Z | |
| dc.date.available | 2018-03-29T00:24:12Z | |
| dc.identifier | Asymptotic Analysis. Ios Press, v. 82, n. 41671, n. 91, n. 107, 2013. | |
| dc.identifier | 0921-7134 | |
| dc.identifier | WOS:000316614500004 | |
| dc.identifier | 10.3233/ASY-2012-1138 | |
| dc.identifier | http://www.repositorio.unicamp.br/jspui/handle/REPOSIP/67141 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/67141 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1287259 | |
| 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 | The aim of this paper is study the equation -Delta u = (log(u) + lambda u(p))chi({u>0}) in Omega with Dirichlet boundary condition, where 0 < p < N+2/N-2 and p not equal 1. We regularize the term log(u) for u near 0 by using a function g(epsilon)(u) = -log(u(2)+epsilon u+epsilon/u+epsilon) for u >= 0 which tends to log(u) as epsilon -> 0 pointwisely. When the parameter lambda > 0 is sufficiently large, the corresponding energy functional to the perturbed equation -Delta u + g(epsilon)(u) = lambda(u(+))(p) has nontrivial critical points u(epsilon) in H-0(1)(Omega). Letting epsilon -> 0, then u(epsilon) converges to a solution of the original problem, which is nontrivial and nonnegative. For 1 < p < N+2/N-2 there is at least one nontrivial solution. While for 0 < p < 1, there are at least two nontrivial distinct solutions. | |
| dc.description | 82 | |
| dc.description | 41671 | |
| dc.description | 91 | |
| dc.description | 107 | |
| 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 | Fondecyt [1120706] | |
| 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 | Fondecyt [1120706] | |
| dc.language | en | |
| dc.publisher | Ios Press | |
| dc.publisher | Amsterdam | |
| dc.publisher | Holanda | |
| dc.relation | Asymptotic Analysis | |
| dc.relation | Asymptotic Anal. | |
| dc.rights | fechado | |
| dc.rights | http://www.iospress.nl/service/authors/author-copyright-agreement/ | |
| dc.source | Web of Science | |
| dc.subject | singular problems | |
| dc.subject | multiple solutions | |
| dc.subject | variational methods | |
| dc.subject | a priori estimates | |
| dc.subject | Cahn-hilliard Equation | |
| dc.subject | Nonlinearity | |
| dc.subject | Existence | |
| dc.subject | Behavior | |
| dc.title | Free boundary solutions to a log-singular elliptic equation | |
| dc.type | Artículos de revistas | |
