| 一类奇异非线性多重调和方程存在正整解的充分必要条件 |
| |
| 引用本文： | 许兴业.一类奇异非线性多重调和方程存在正整解的充分必要条件[J].高校应用数学学报(A辑),2017,32(4). |
| |
| 作者姓名： | 许兴业 |
| |
| 作者单位： | 广东外语外贸大学南国商学院公共课教学部,广东广州,510545 |
| |
| 基金项目： | 广东外语外贸大学南国商学院校级科研重点课题 |
| |
| 摘 要： | 研究一类奇异非线性多重调和方程?~mu=f(|x|,u,|▽u|)u~(-β),给出了方程存在正的径向对称整体解的充分必要条件和解的性质.
|
| 关 键 词： | 非线性多重调和方程 Lebesgue控制收敛定理 等度连续 相对紧 不动点定理 |
Sufficient and necessary condition for the existence of positive entire solutions of a class of singular nonlinear polyharmonic equations |
| |
| XU Xing-ye.Sufficient and necessary condition for the existence of positive entire solutions of a class of singular nonlinear polyharmonic equations[J].Applied Mathematics A Journal of Chinese Universities,2017,32(4). |
| |
| Authors: | XU Xing-ye |
| |
| Abstract: | In this paper, the aim is to study the singular nonlinear polyharmonic equations of the following form ?mu=f (|x|, u,|?u|)u?β. The sufficient and necessary condition for the existence of positive radial symmetric entire solutions is proved, and some properties of the solutions are obtained. |
| |
| Keywords: | nonlinear polyharmonic equation Lebesgue dominated convergence theorem equicontinuity relative compactness fixed point theorem |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
