Elliptic problem involving diffuse measure data

[摘要] In this paper, we study a suitable notion of solution for which a nonlinear elliptic problem governed by a general Leray-Lions operator is well posed for any diffuse measure data. In terms of the paper (Brezis et al., 2007, [10]), we study the notion of solution for which any diffuse measure is good measure. (C) 2012 Elsevier Inc. All rights reserved.

[发布日期] 2012-12-15

[关键词] Nonlinear elliptic;Diffuse measure;Biting lemma of Chacon;Maximal monotone graph;Radon measure data;Weak solution;Entropic solution;Leray-Lions operator