The obstacle problem for noncoercive elliptic equations with variable growth and L1-data

被引：2

作者：

Ayadi, Hocine ^{[1
]}

Mokhtari, Fares ^{[2
]}

Souilah, Rezak ^{[1
]}

机构：

[1] Univ Medea, Dept Math & Comp Sci, Fac Sci, Medea, Algeria

[2] Univ Algiers, Dept Math, Fac Sci, Algiers, Algeria

来源：

PORTUGALIAE MATHEMATICA | 2022年 / 79卷 / 1-2期

关键词：

Noncoercive obstacle problems; variable growth; entropy solutions; L-1-data; Lewy-Stampacchia inequalities; UNILATERAL PROBLEMS; ENTROPY SOLUTIONS; SOBOLEV SPACES; REGULARITY; EXISTENCE; EXPONENT; LEBESGUE;

D O I：

10.4171/PM/2079

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to study the obstacle problem associated with noncoercive elliptic equations with variable exponents and L-1-data. After proving the existence and regularity of entropy solutions, we have extended the Lewy-Stampacchia inequalities to the case of noncoercive elliptic operators.

引用

页码：61 / 83

页数：23

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