EXISTENCE AND REGULARITY OF ENTROPY SOLUTIONS FOR STRONGLY NONLINEAR p(x)-ELLIPTIC EQUATIONS

被引：0

作者：

Azroul, Elhoussine ^{[1
]}

Hjiaj, Hassane ^{[1
]}

Touzani, Abdelfattah ^{[1
]}

机构：

[1] Univ Fez, Fac Sci Dhar El Mahraz, Lab LAMA, BP 1796, Atlas Fez, Morocco

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年

关键词：

Sobolev spaces with variable exponents; entropy solutions; strongly nonlinear elliptic equations; boundary value problems; RENORMALIZED SOLUTIONS; ELLIPTIC-EQUATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article is devoted to study the existence of solutions for the strongly nonlinear p(x)-elliptic problem - div a (x, u, del u) + g (x, u, del u) = f - div phi(u) in Omega, u = 0 on partial derivative Omega, with f is an element of L-1(Omega) and phi is an element of C-0(R-N), also we will give some regularity results for these solutions.

引用

页数：27

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