北京大学学报(自然科学版)

展缩反演和半线性椭圆方程解的定性性质

王耀东1, 曹启升2   

  1. 1北京大学数学系, 北京, 100871;2香港中文大学数学系,香港新界沙田
  • 收稿日期:1994-03-02 出版日期:1995-01-20 发布日期:1995-01-20

Dilation and Inversion for Qualitative Properties of Solutions of Semilinear Elliptic Equations

WANG Yaodong1, CHOU Kaiseng2   

  1. 1Department of Mathematics, Peking University, Beijing, 100871; 2Department of Mathematics, Hong Kong Chinese University, N T, Shatin, Hong Kong
  • Received:1994-03-02 Online:1995-01-20 Published:1995-01-20

摘要: 用展缩和反演变换研究了某些半线性椭圆型方程解的单调性和对称性。

关键词: 单调性, 对称性, 半线性椭圆型方程, 展缩, 反演

Abstract: The monotonicity and the symmetry of the solutions of the semilinear elliptic equations are studied by the dilation andthe inversion method.

Key words: monotonicity, symmetry, solutions of the semilinear elliptic equations, dilation, inversion

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