Some nonlinear elliptic systems with right-hand side integrable data with respect to the distance to the boundary

被引：0
作者：
FengQuan Li
机构：
[1] Dalian University of Technology,School of Mathematical Sciences
来源：
Science China Mathematics | 2014年 / 57卷
关键词：
very weak solutions; existence and uniqueness; regularity; nonlinear elliptic systems; distance to the boundary; integrable data; 35D30; 35J47; 35J70;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the very weak solutions to some nonlinear elliptic systems with right-hand side integrable data with respect to the distance to the boundary. Firstly, we study the existence of the approximate solutions. Secondly, a priori estimates are given in the framework of weighted spaces. Finally, we prove the existence, uniqueness and regularity of the very weak solutions.
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页码：1891 / 1910
页数：19
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