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

• 作者: Wu Jiongqi
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: P-LAPLACE算子 正解 奇异方程 固定点理论 存在性
• 年，卷（期）: 2005,（4）
• 页码范围: 592-597
• 页数: 6页
• 分类号: O175

摘要

<正>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|→∞.