摘要
研究一类RN中形如Δ~2u=f(|x|,u)(x∈R^N,N>2)的半线性双调和方程,得到了两个方程存在正整解的充分必要条件和解的性质定理.
The aim of this paper is to study the semilinear biharmonic equations of the following form Δ^2u =f（｜x｜,u）（ x∈R^N,N2）. Two theorems of sufficient and necessary condition for the existence of positive entire solutions and some properties are obtained.
作者
许兴业
XU Xingye(Department of Public Course Teaching, South China Business College, Guangdong University of Foreign Studies, Guangzhou, Guangdong, 510545, P.R.China)
出处
《广东第二师范学院学报》
2018年第3期46-51,共6页
Journal of Guangdong University of Education
关键词
半线性双调和方程
正整解
闭凸子集
连续映照
不动点定理
semilinear biharmonie equation
positive entire solution
close convex subset
continuousmapping
fixed point theorem
