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.

引用

页数：15

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