| Texto completo | |
| Autor(es): |
Número total de Autores: 2
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| Afiliação do(s) autor(es): | [1] Univ Estadual Campinas, Dept Matemat, IMECC, BR-13083970 Campinas, SP - Brazil
Número total de Afiliações: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | Journal of Differential Equations; v. 246, n. 2, p. 482-511, JAN 15 2009. |
| Citações Web of Science: | 9 |
| Resumo | |
We study the nonlinear elliptic problem -Delta u = X([u>0])(log u + lambda f (x,u)) in Omega subset of R(n) with u = 0 on partial derivative Omega. The function f : Omega x {[}0, infinity) -> {[}0,infinity) is nondecreasing, sublinear and f(u) is continuous. For every lambda > 0, we obtain a maximal solution u(lambda) >= 0 and prove its global regularity C(1.gamma) ((Omega) over bar). There is a constant lambda{*} such that u(lambda) vanishes on a set of positive measure for 0 < lambda <{*}, and u(lambda) > 0 for lambda >lambda{*}. If f is concave, for), lambda > lambda{*} we characterize u(lambda) by its stability. (C) 2008 Elsevier Inc. All rights reserved. (AU) | |
| Processo FAPESP: | 04/04651-7 - Equacoes elipticas e parabolicas singulares . |
| Beneficiário: | Olivâine Santana de Queiroz |
| Modalidade de apoio: | Bolsas no Brasil - Doutorado |