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.
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页数：27
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