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

Acta Scientiarum Naturalium Universitatis Pekinensis

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

WANG Yaodong¹, CHOU Kaiseng²

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

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

Abstract

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

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

CLC Number:

O175.25

WANG Yaodong,CHOU Kaiseng. Dilation and Inversion for Qualitative Properties of Solutions of Semilinear Elliptic Equations[J]. Acta Scientiarum Naturalium Universitatis Pekinensis.

王耀东, 曹启升. 展缩反演和半线性椭圆方程解的定性性质[J]. 北京大学学报（自然科学版）.

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

展缩反演和半线性椭圆方程解的定性性质

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