Nonexistence of solutions for singular quasilinear differential inequalities with a gradient nonlinearity

被引：18

作者：

Li, Xiaohong ^{[2
]}

Li, Fengquan ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

[2] Shandong Inst Business & Technol, Sch Math & Informat Sci, Yantai 264005, Shandong, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 05期

关键词：

Quasilinear differential inequality; Test function method; Gradient term; Singularities; Strongly-p-coercive; Weakly-p-coercive; POSITIVE SOLUTIONS; ELLIPTIC INEQUALITIES; NONNEGATIVE SOLUTIONS; WEAK SOLUTIONS; LIOUVILLE; EQUATIONS; THEOREMS;

D O I：

10.1016/j.na.2011.11.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to prove some new nonexistence theorems for the singular quasilinear differential inequalities with a gradient nonlinearity in bounded and unbounded domains. The proofs are based on the test function method developed by Mitidieri and Pohozaev. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2812 / 2822

页数：11

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