Comparison results for nonlinear degenerate Dirichlet and Neumann problems with general growth in the gradient

被引：6
|
作者：
Tian, Yujuan [1 ]
Li, Fengquan [1 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 378卷 / 02期
关键词：
Comparison results; Rearrangements; Degenerate; Nonlinear elliptic equation; ELLIPTIC-EQUATIONS; EXISTENCE;
D O I：
10.1016/j.jmaa.2011.01.072
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：749 / 763
页数：15
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