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.
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页数：15
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