Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/2899
Título: | Convergence of convex sets with gradient constraint |
Autor(es): | Azevedo, Assis Santos, Lisa |
Palavras-chave: | Mosco convergence Quasivariational inequality |
Data: | 2004 |
Editora: | Heldermann Verlag |
Revista: | Journal of Convex Analysis |
Citação: | "Journal of Convex Analysis". ISSN 0944-6532. 11:2 (2004) 285-301. |
Resumo(s): | Given a bounded open subset of R^N, we study the convergence of a sequence (K_n)_{n\in\N} of closed convex subsets of W_0^{1,p}(\Omega) (p\in]1,\infty[) with gradient constraint, to a convex set K, in the Mosco sense. A particular case of the problem studied is when K_n={v\in W_0^{1,p}(\Omega):: F_n(x,\nabla v(x))<= g_n(x) for a.e. x in \Omega}. Some examples of non-convergence are presented. We also present an improvement of a result of existence of a solution of a quasivariational inequality, as an application of this Mosco convergence result. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/2899 |
ISSN: | 0944-6532 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals DMAT - Artigos (Papers) |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
LisaAssis_Mosco_JCA2004.pdf | 184,98 kB | Adobe PDF | Ver/Abrir |