摘要
设r=sum form i=1 to ∞(x_i^2),Ω={r|0≤r<a}是R^(?)中的开球。考虑无界域的二阶半线性椭圆方程边值问题: Δu+f(u,r)=0 r∈Ω′=R^n\(?) u|(?)Ω=0 r∈(?)Ω给出了问题径向正解的非存在性,解的振荡性及有界性的充分条件,并对有界解进行了估计。
In this paper we consider the following boundary value problem of the nonlinear second order elliptic partial differential equationwhere r is an open ball in R. The nonexistence theorem of radial positive solution, sufficient conditions of oscillation and boundedness of radial solution and estimation for bounded solution are given in this paper.
出处
《重庆大学学报(自然科学版)》
EI
CAS
CSCD
1995年第5期76-82,共7页
Journal of Chongqing University
关键词
半线性
椭圆型方程
径向解
振荡性
有界性
semilinear elliptic equation
radial solution
nonexistennce
oscillation
boundedness