G-CONVERGENCE OF MONOTONE-OPERATORS

被引:65
作者
CHIADOPIAT, V
DALMASO, G
DEFRANCESCHI, A
机构
[1] SISSA, Strada Costiera 11, Trieste
来源
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 1990年 / 7卷 / 03期
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 30 条
[1]  
Ambrosetti A., 1976, B UNIONE MAT ITAL, V13, P352
[2]  
Attouch H., 1984, VARIATIONAL CONVERGE
[3]  
ATTOUCH H, 1982, REND SEM MAT U POLIT, V40, P1
[4]  
Barbu V., 1986, CONVEXITY OPTIMIZATI
[5]  
Bensoussan A., 1978, ASYMPTOTIC ANAL PERI
[6]   HOMOGENIZATION WITH JUMPING NONLINEARITIES [J].
BOCCARDO, L ;
GALLOUET, T .
ANNALI DI MATEMATICA PURA ED APPLICATA, 1984, 138 :211-221
[7]  
BOCCARDO L, 1982, STUDIO PROBLEMI LIMI, P13
[8]  
Boccardo Lucio, 1984, PORT MATH, V41, P535
[9]  
Brezis H, 1973, LECT NOTES MATH, V5
[10]  
Browder F.E., 1976, P S PURE MATH 2, V18