许兴业.一类非线性多重调和方程△mu=f(|x|,u,|▽u|)的正整解[J].数学研究及应用,2000,20(2):237~242 |
一类非线性多重调和方程△mu=f(|x|,u,|▽u|)的正整解 |
The Positive Entire Solutions of a Class of Nonlinear Multiple Harmonic Equations △mu=f(|x|,u,|▽u|) |
|
DOI:10.3770/j.issn:1000-341X.2000.02.018 |
中文关键词: 多重调和方程 正整解 闭凸子集 相对紧 不动点定理. |
英文关键词:multiple harmonic equation positive entire solutionl close convex subest relative compactness fixed point theorem. |
基金项目: |
|
摘要点击次数: 2084 |
全文下载次数: 1181 |
中文摘要: |
本文建立了一类Rn(n≥3)中非线性多重调和方程△mu=f(|x|,u,|▽u|)(m≥2)正的径向对称整体解的存在性定理,并给出了解的有关性质,推广了文[1]-[4]的有关结果. |
英文摘要: |
In this paper, we establish the theorems of existence of positive radially symmtry entire solutions for a class of nonlinear multiple harmonic equations △mu=f(|x|,u,|▽u|) (m≥2) on Rn(n≥3) and present the properties of the solutions. The results of this paper may be regarded as an extension of [1]-[4]. |
查看全文 查看/发表评论 下载PDF阅读器 |
|
|
|