The obstacle problem for non-coercive equations with lower order term and L1-data

被引：0
|
作者：
Zheng, Jun [1 ]
机构：
[1] Southwest Jiaotong Univ, Sch Math, Chengdu, Sichuan, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年
关键词：
Obstacle problem; Non-coercive equation; Entropy solution; L-1-data; Lower order term; ELLIPTIC-EQUATIONS; EXISTENCE;
D O I：
10.1186/s13660-019-2157-9
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 an elliptic operator having degenerate coercivity, a low order term, and L-1-data. We prove the existence of an entropy solution to the obstacle problem and show its continuous dependence on the L-1-data in W-1,W-q(Omega) with some q>1.
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页数：15
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