On Blow-up Conditions for Solutions of Differential Inequalities with φ-Laplacian

被引：0

作者：

Kon'kov, A. A. ^{[1
,2
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119991, Russia

[2] RUDN Univ, Ctr Nonlinear Problems Math Phys, Moscow 117198, Russia

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2023年 / 44卷 / 03期

基金：

俄罗斯科学基金会;

关键词：

nonlinear inequalities; phi-Laplacian; unbounded domains; ELLIPTIC INEQUALITIES; NONLINEARITY; NONEXISTENCE;

D O I：

10.1134/S1995080223030162

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Omega not equal (sic) be an unbounded open subset of R-n, n >= 2. We obtain blow-up conditions for non-negative solutions of the problem L(phi)u >= F(x, u) in Omega, u|(partial derivative Omega) = 0, where phi and F are some function and L phi u = div (phi(|del u|)/|del u|del u) is the phi-Laplace operator.

引用

页码：896 / 910

页数：15

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