Elliptic problem involving diffuse measure data

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:253

Article

Igbida, Noureddine¹  Ouaro, Stanislas²  Soma, Safimba² 

[1] Univ Limoges, Fac Sci & Tech, UMR CNRS 7252, Inst Rech XLIM DMI, F-87060 Limoges, France

[2] Univ Ouagadougou, Lab Anal Math Equat LAME UFR Sci Exactes & Appl, Ouagadougou, Burkina Faso

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

DOI  :  10.1016/j.jde.2012.08.025

来源: Elsevier

【 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.

【 授权许可】

Free