摘要
证明了一类含高阶调和算子的半线性椭圆型方程的正解都是径向对称的，由此得到显式表达．
Radial symmetry of positive solutions for a semilinear elliptic equation of the plolyharmonic operator involving critical exponent are proved, their explicit expressions are get and they are also the minimizers for the best constant of some Sobolev embedding theorem.
出处
《中山大学学报论丛》
1997年第5期26-30,共5页
Supplement to the Journal of Sun Yatsen University
基金
广东省高校博士后科学研究经费资助
关键词
高阶调和算子
正解
临界指标
径向对称性
polyharmornic operator
positive solutions
critical exponents
radial symmetry
