On Differential Inequalities with Point Singularities on the Boundary

被引：5

作者：

Galakhov, E. I. ^{[1
]}

机构：

[1] Russian Acad Sci, VA Steklov Math Inst, Moscow 119991, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2008年 / 260卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.1134/S0081543808010082

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the nonexistence of solutions for some nonlinear ordinary differential equations and inequalities, for quasilinear partial differential equations and inequalities in bounded domains with singular points on the boundary, and for systems of such equations and inequalities. The proofs are based on the method of nonlinear capacity. We also give examples demonstrating that the conditions obtained are sharp in the class of problems under consideration.

引用

页码：112 / 122

页数：11

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