Positive solutions of quasilinear elliptic equations

被引：9

作者：

Galakhov, EI ^{[1
]}

机构：

[1] Univ Rostock, D-2500 Rostock, Germany

来源：

MATHEMATICAL NOTES | 2005年 / 78卷 / 1-2期

关键词：

quasilinear elliptic differential equation; Dirichlet problem; radially symmetric function; Sobolev exponent; self-similarity exponent;

D O I：

10.1007/s11006-005-0114-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with existence theorems for positive solutions of the Dirichlet problem for quasilinear elliptic differential equation containing a gradient term. Using the shooting method and the a priori estimates for the first zero, we obtain sufficient conditions for the existence of classical positive solutions of the problem in the ball.

引用

页码：185 / 193

页数：9