Entire solutions of quasilinear elliptic equations

被引：6

作者：

Gladkov, Alexander ^{[1
]}

Slepchenkov, Nickolai ^{[1
]}

机构：

[1] Vitebsk State Univ, Dept Math, Vitebsk 210038, BELARUS

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 66卷 / 03期

关键词：

entire solutions; quasilinear elliptic equation; nonexistence;

D O I：

10.1016/j.na.2005.12.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the existence of entire solutions of a quasilinear elliptic equation div(vertical bar Du vertical bar(p-2)Du) = k(x) f(u), x epsilon R-N, where p > 1, N epsilon N. Conditions of the existence of entire solutions have been obtained by different authors. We prove an optimality of some of these results and give new sufficient conditions for the nonexistence of entire solutions. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：750 / 775

页数：26

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