Non-existence of solutions for nonlinear differential inequalities with singularities on the boundary

被引：0

作者：

Li, Xiaohong ^{[1
]}

机构：

[1] Shandong Inst Business & Technol, Coll Math & Informat Sci, Yantai, Peoples R China

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2017年 / 62卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Nonlinear differential inequality; test function method; gradient term; POSITIVE SOLUTIONS; ELLIPTIC INEQUALITIES; WEAK SOLUTIONS; SYSTEMS; LIOUVILLE; EQUATIONS; THEOREMS;

D O I：

10.1080/17476933.2016.1243667

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove some new Liouville theorems for nonlinear differential inequalities with two gradient terms and singular variable coefficients. The proofs are based on the test function method developed by Mitidieri and Pohozaev.

引用

页码：748 / 759

页数：12

共 50 条

[1] Non-existence of solutions of semilinear parabolic differential inequalities in cones
Laptev, GG
SBORNIK MATHEMATICS, 2001, 192 (9-10) : 1471 - 1490
[2] Existence and non-existence of global solutions of diffusion systems with nonlinear boundary conditions
Qi, YW
Wang, MX
Wang, ZJ
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2004, 134 : 1199 - 1217
[3] Non-existence of positive solutions for diffusive logistic equations with nonlinear boundary conditions
Umezu, K
Nonlinear Elliptic and Parabolic Problems: A SPECIAL TRIBUTE TO THE WORK OF HERBERT AMANN, MICHEL CHIPOT AND JOACHIM ESCHER, 2005, 64 : 497 - 507
[4] Non-existence of entire solutions of degenerate elliptic inequalities with weights
Filippucci, Roberta
Pucci, Patrizia
Rigoli, Marco
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2008, 188 (01) : 155 - 179
[5] Existence and non-existence results for a quasilinear problem with nonlinear boundary condition
St Cîrstea, FC
Radulescu, VD
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 244 (01) : 169 - 183
[6] Non-existence of Entire Solutions of Degenerate Elliptic Inequalities with Weights
Roberta Filippucci
Patrizia Pucci
Marco Rigoli
Archive for Rational Mechanics and Analysis, 2008, 188 : 155 - 179
[7] STABILITY, EXISTENCE AND NON-EXISTENCE OF T-PERIODIC SOLUTIONS OF NONLINEAR DELAYED DIFFERENTIAL EQUATIONS WITH φ-LAPLACIAN
Amster, Pablo
Kuna, Mariel Paula
Santos, Dionicio
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2022, 21 (08) : 2723 - 2737
[8] On non-existence of positive solutions of nonlinear polyharmonic equations
Xu, XW
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS AND COMPUTATIONAL SIMULATIONS, 2000, : 378 - 382
[9] REMARKS ON NON-EXISTENCE OF SOLUTIONS FOR AN ABSTRACT DIFFERENTIAL EQUATION
BARROSNE.J
ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS, 1966, 38 (01): : 1 - &
[10] On the existence or non-existence of solutions for certain backward stochastic differential equations
Lepeltier, JP
San Martín, J
BERNOULLI, 2002, 8 (01) : 123 - 137

← 1 2 3 4 5 →