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
收藏
页码：61 / 83
页数：23
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