摘要
建立一类非线性椭圆型方程Δu=f(x,u,"u)uβ,(x∈R2,0<β<1)正整解存在性定理,并给出解的有关性质.
In this paper, our aim is to establish the theorems of existence of positive entire solutions for a class of nonlinear elliptic equations △u=f(x,u, u)uβ,(x∈R^2,0〈β〈1),and present the properties of the solutions.
出处
《广东第二师范学院学报》
2015年第3期32-37,共6页
Journal of Guangdong University of Education
关键词
椭圆型方程
正整解
上解
下解
连续映照
不动点定理
elliptic equations
positive entire solution
super-solution
sub-solution
continuous mapping
fixed point theorem.