Existence of solutions for some nonlinear elliptic unilateral problems with measure data

被引：0
|
作者：
Yazough, C. [1 ]
Azroul, E. [1 ]
Redwane, H. [2 ]
机构：
[1] Univ Fez, Fac Sci Dhar El Mahraz, Lab LAMA, Dept Math, Atlas Fez, Morocco
[2] Univ Hassan 1, Fac Sci Jurid Econ & Sociales, Settat, Morocco
来源：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2013年 / 43期
关键词：
variable exponents; entropy solution; unilateral problems; VARIABLE EXPONENT; FUNCTIONALS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove the existence of an entropy solution to unilateral problems associated to the equations of the type: Au + H(x, u, del u) - div phi(u) = mu is an element of L-1(Omega) + W--1,W-p'((x))(Omega), where A is a Leray-Lions operator acting from W-0(1,p(x))(Omega) into its dual W--1,W-p(x)(Omega), the nonlinear term H(x, s, xi) satisfies some growth and the sign conditions and phi(u) is an element of C-0(R, R-N).
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页码：1 / 21
页数：21
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