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).

引用

页码：1 / 21

页数：21

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