Existence of solutions for variational degenerated unilateral problems

被引：0
|
作者：
Aharouch, L. [1 ]
Azroul, E. [1 ]
Rhoudaf, M. [1 ]
机构：
[1] Fac Sci Dhar Mahraz, Dept Math & Informat, Atlas Fes, Morocco
来源：
RECENT DEVELOPMENTS IN NONLINEAR ANALYSIS | 2010年
关键词：
Degenerate unilateral problem; Existence result; BOUNDED SOLUTIONS;
D O I：
10.1142/9789814295574_0013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An existence result is proved for a variational degenerated unilateral problems associated to the following equations Au + y(x, u, del u) = f, where A is a Leray-Lions operator acting from the weighted Sobolev space W(0)(1,p)(Omega, w) into its dual W(-1,p')(Omega, w*), while g(x, s, xi) is a nonlinear term winch has a growth condition with respect to xi and a sign condition on s, i.e. g(x, s, xi).s >= 0 for every s is an element of R and for every x and xi in their respective domains. The source term f is supposed to belong to W(-1,p')(Omega, w*) .
引用
收藏
页码：181 / 204
页数：24
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