The obstacle problem for nonlinear noncoercive elliptic equations with <mml:msup>L1</mml:msup>-data

被引：0

作者：

Zheng, Jun ^{[1
]}

Tavares, Leandro S. ^{[2
]}

机构：

[1] Southwest Jiaotong Univ, Sch Math, Chengdu, Sichuan, Peoples R China

[2] Univ Fed Cariri, Ctr Ciencias & Tecnol, Juazeiro Do Norte, Brazil

来源：

BOUNDARY VALUE PROBLEMS | 2019年

关键词：

Obstacle problem; Noncoercive elliptic equation; L-1-data; Entropy solution; UNILATERAL PROBLEMS; EXISTENCE;

D O I：

10.1186/s13661-019-1168-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the obstacle problem governed by nonlinear noncoercive elliptic equations with L1-data. We prove the existence of an entropy solution and show its continuous dependence on the L1-data in W1,q() with q>1.

引用

页数：15

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