Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/2899

 Title: Convergence of convex sets with gradient constraint Author(s): Azevedo, AssisSantos, Lisa Keywords: Mosco convergenceQuasivariational inequality Issue date: 2004 Publisher: Heldermann Verlag Journal: Journal of Convex Analysis Citation: "Journal of Convex Analysis". ISSN 0944-6532. 11:2 (2004) 285-301. Abstract(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. Type: Article URI: http://hdl.handle.net/1822/2899 ISSN: 0944-6532 Peer-Reviewed: yes Access: Open access Appears in Collections: CMAT - Artigos em revistas com arbitragem / Papers in peer review journalsDMAT - Artigos (Papers)

Files in This Item:
File Description SizeFormat
LisaAssis_Mosco_JCA2004.pdf184,98 kBAdobe PDF