G-CONVERGENCE OF MONOTONE-OPERATORS

被引:65
|
作者
CHIADOPIAT, V
DALMASO, G
DEFRANCESCHI, A
机构
[1] SISSA, Strada Costiera 11, Trieste
关键词
G-convergence; monotone operators; nonlinear elliptic equations; opérateurs monotones; équations elliptiques non linéaires;
D O I
10.1016/S0294-1449(16)30298-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A general notion of G-convergence for sequences of maximal monotone operators of the form [Figure presented] is introduced in terms of the asymptotic behavior, as h → + ∞ of the solutions uh to the equations [Figure presented] and of their momenta ah(x, Duh). The main results of the paper are the local character of the G-convergence and the G-compactness of some classes of nonlinear monotone operators. © 2016 L'Association Publications de l'Institut Henri Poincaré
引用
收藏
页码:123 / 160
页数:38
相关论文
共 50 条