EXISTENCE OF SOLUTIONS FOR A CLASS OF DEGENERATE ELLIPTIC EQUATIONS IN P(X)-SOBOLEV SPACES

被引：3

作者：

Aharrouch, Benali ^{[1
]}

Boukhrij, Mohamed ^{[1
]}

Bennouna, Jaouad ^{[1
]}

机构：

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

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2018年 / 51卷 / 02期

关键词：

Weak and entropy solutions; degenerate elliptic equations; Sobolev spaces with variable exponent; Stampacchia methods; UNILATERAL PROBLEMS;

D O I：

10.12775/TMNA.2017.065

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the Dirichlet problem for degenerate elliptic equations of the form -div /g=a/(x, u, del u) + H(x,u, del u) = f in /g=W/, where /g=a/(x,u, del u) is allowed to degenerate with respect to the unknown u, and H(x, u, del u) is a nonlinear term without sign condition. Under suitable conditions on a and H, we prove the existence of bounded and unbounded solution for a datum f /m=elem/ L-m, with 1 /m=le/ m /m=le//m=infty/.

引用

页码：389 / 411

页数：23

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