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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
Comparison results for nonlinear degenerate Dirichlet and Neumann problems with general growth in the gradient
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论文类型：期刊论文
发表时间：2011-06-15
发表刊物：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
收录刊物：SCIE
卷号：378
期号：2
页面范围：749-763
ISSN号：0022-247X
关键字：Comparison results; Rearrangements; Degenerate; Nonlinear elliptic equation
摘要：This paper deals with both Dirichlet and Neumann problems for a class of nonlinear degenerate elliptic equations with general growth in the gradient. First, we give an existence result of a spherically symmetric solution to the "symmetrized" problems with data depending only on the radials. Second, we prove that the solutions of the original problems can be compared, under a rearrangement, with the solutions of the "symmetrized" problems. (C) 2011 Elsevier Inc. All rights reserved.