| ON THE EXISTENCE OF POSITIVE ENTIRE SOLUTIONS FOR SINGULAR p-LAPLACE EQUATIONS |
| |
| 引用本文： | Wu Jiongqi (Dept. of Math.,Zhangzhou Normal University,Zhangzhou 363000). ON THE EXISTENCE OF POSITIVE ENTIRE SOLUTIONS FOR SINGULAR p-LAPLACE EQUATIONS[J]. Annals of Differential Equations, 2005, 21(4): 592-597 |
| |
| 作者姓名： | Wu Jiongqi (Dept. of Math. Zhangzhou Normal University Zhangzhou 363000) |
| |
| 作者单位： | Dept. of Math.，Zhangzhou Normal University，Zhangzhou 363000 |
| |
| 基金项目： | The work is supported by the National Natural Science Foundation of China (10271056)the Natural Science Foundation of Fujian Province (F00018). |
| |
| 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|→∞.
|
| 关 键 词： | p-Laplace算子 正解 奇异方程 固定点理论 存在性 |
ON THE EXISTENCE OF POSITIVE ENTIRE SOLUTIONS FOR SINGULAR p-LAPLACE EQUATIONS |
| |
| Wu Jiongqi. ON THE EXISTENCE OF POSITIVE ENTIRE SOLUTIONS FOR SINGULAR p-LAPLACE EQUATIONS[J]. 微分方程年刊(英文版), 2005, 21(4): 592-597 |
| |
| Authors: | Wu Jiongqi |
| |
| Affiliation: | Dept. of Math., Zhangzhou Normal University, Zhangzhou 363000 |
| |
| Abstract: | |
| |
| Keywords: | p-Laplace operator positive entire solutions singular equation fixed point theorem |
| 本文献已被 CNKI 维普 等数据库收录！ |
