摘要
本文讨论了无界域上的二阶半线性椭圆方程的径向解，给出了古典解的性质，诸如存在或非存在性，唯一性以及解的估计式等，这些性质清晰地描绘了古典解的性态．
This paper Discusses the BVP of the semilinear elliptic equation △n=f(u) inRN with f∈C(R), uf(u)>0, f(0)=0, it gives properties of the classic radial solution,and proves existence and nonekistence, and uniqueness, further the estimations of the radialsolution are also given, these properties better describe the behaviour of the radial solutionas well.
出处
《应用数学学报》
CSCD
北大核心
1996年第1期57-64,共8页
Acta Mathematicae Applicatae Sinica
关键词
半线性
椭圆型方程
径向解
古典解
唯一性
Semilinear, elliptic equation, radial solution, classical solution,ekistence and uniqueness
