A priori estimates for nonlinear differential inequalities and applications

被引:9
|
作者
Li, Xiaohong [1 ]
Li, Fengquan [1 ]
机构
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
关键词
Nonlinear differential inequality; A priori estimates; Harnack-type inequality; Strongly-p-coercive; POSITIVE SOLUTIONS; LOCAL BEHAVIOR; WEAK SOLUTIONS; NONEXISTENCE; EQUATIONS;
D O I
10.1016/j.jmaa.2010.12.018
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The aim of the paper is to derive a priori estimates and obtain the Harnack-type inequalities of positive weak solutions for the nonlinear differential inequalities in an exterior domain or interior domain. By using the test function method developed by Mitidieri and Pohozaev, we extend and improve some known results proved by Serrin and Zou. Bidaut-Veron and Pohozaev. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码:723 / 733
页数:11
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