Extremal solutions for a class of unilateral problems

被引：0
|
作者：
Huy, NB
Thanh, ND
Thanh, TD
机构：
[1] Coll Educ, Dept Math, Ho Chi Minh City, Vietnam
[2] Coll Med & Pharm, Dept Math, Ho Chi Minh City, Vietnam
来源：
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2002年 / 21卷 / 02期
关键词：
fixed points; increasing operators; ordered spaces; extremal solutions; variational inequalities; unilateral problems;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We apply a fixed point theorem for increasing operators in ordered Banach spaces to prove the existence of extremal (i.e. maximal or minimal) solutions for the variational inequality [Av, w - v] greater than or equal to integral(Omega) f(x, v)(w - v) dx where A is the p-Laplacian and f(x, u) = F(x, u, u) with F(x, u, v) being a function, non-decreasing in u and non-increasing in v.
引用
收藏
页码：371 / 380
页数：10
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