一类半线性双调和方程存在正整解的充要条件  

Sufficient and Necessary Conditions for the Existence of Positive Entire Solutions of a Class of Semilinear Biharmonic Equations

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)

机构地区：[1]广东外语外贸大学南国商学院公共课教学部,广东广州510545

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

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.

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 

分 类 号：O175.25[理学—数学]