Nonexistence of Solutions for Nonlinear Differential Inequalities with Singularities on Unbounded Sets

被引：1

作者：

Li, Xiaohong ^{[1
]}

Wan, Haitao ^{[1
]}

Li, Xiliang ^{[1
]}

机构：

[1] Shandong Technol & Business Univ, Yantai 264005, Shandong, Peoples R China

来源：

MATHEMATICAL NOTES | 2020年 / 107卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

nonlinear differential inequality; test function method; gradient term; ELLIPTIC INEQUALITIES; WEAK SOLUTIONS; BLOW-UP;

D O I：

10.1134/S0001434620010113

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study some new Liouville theorems for nonlinear differential inequalities with gradient terms and singular variable coefficients that have singularities on unbounded sets. The proofs are based on the test function method developed by Mitidieri and Pohozaev.

引用

页码：121 / 128

页数：8

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