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

页码：749 / 763

页数：15

共 44 条

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