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．
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 R^n(n≥3) and present the properties of the solutions. The results of this paper may be regarded as an extension of [1]-[4].
关键词
多重调和方程
正整解
不动点定理
非线性
存在性
multiple harmonic equation
positive entire solutionl close convex subest
relative compactness
fixed point theorem.
