摘要
本文利用不同的函数变换及Banach空间压缩影象原理,证明了Rn中半线性椭园方程 △u+K(|x|)uP=0无限多个奇解的存在性,并且具有渐进性rN-2u(r)→c>0(r0→∞).
Using different transformation and the contract map theorem in Banach space, we establish the existence results of singular positive radial solutions for semilinear elliptic equations with the asymptotic behavior .
出处
《数学杂志》
CSCD
北大核心
2003年第1期67-72,共6页
Journal of Mathematics
关键词
正奇解
半线性椭园方程
渐进性
temilinear elliptic equationspositive, aingular (radial) solutions, asymptotic behavior