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个人信息Personal Information
教授
博士生导师
硕士生导师
性别：男
毕业院校：复旦大学
学位：博士
所在单位：数学科学学院
学科：应用数学
办公地点：大连理工大学主校区科技园大厦A1124
联系方式：Tel:0411-84708351-8124
电子邮箱：fqli@dlut.edu.cn
Some nonlinear elliptic systems with right-hand side integrable data with respect to the distance to the boundary
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论文类型：期刊论文
发表时间：2014-09-01
发表刊物：SCIENCE CHINA-MATHEMATICS
收录刊物：SCIE
卷号：57
期号：9
页面范围：1891-1910
ISSN号：1674-7283
关键字：very weak solutions; existence and uniqueness; regularity; nonlinear elliptic systems; distance to the boundary; integrable data
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.