ON THE EXISTENCE OF POSITIVE ENTIRE SOLUTIONS FOR SINGULAR p-LAPLACE EQUATIONS

被引：1
|
作者：
Wu Jiongqi (Dept. of Math.
机构：
来源：
Annals of Applied Mathematics | 2005年 / 04期
基金：
中国国家自然科学基金;
关键词：
p-Laplace operator; positive entire solutions; singular equation; fixed point theorem;
D O I：
暂无
中图分类号：
O175.29 [非线性偏微分方程];
学科分类号：
070104 ;
摘要：
In this paper N-dimensional singular, p-Laplace equations of the following form are considered, where p ≥N, β > 0, and f : [0,∞)×(0,∞)×[0, ∞)→[0,∞) is a continuous function. Some sufficient conditions are obtained for the existence of infinitely many radially positive entire solutions of the equation which are asymptotic to positive constant multiples of |x|(p-N)/(p-1) for p > N or log|x| for N = p as |x|→∞.
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页码：592 / 597
页数：6
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