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-  2018 

外球区域Monge-Ampère方程解的对称性
SYMMETRY OF SOLUTIONS OF MONGE-AMPèRE EQUATIONS IN THE DOMAIN OUTSIDE A BALL

Keywords: 解的对称性 Monge-Ampère方程 移动平面法 极值原理
symmetry solution Monge-Ampère equation moving plane extreme principle

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Abstract:

本文研究了外球区域中一类Monge-Ampère方程解的对称性.利用移动平面法和简-汪引进的一类变换,证明了解是旋转对称的.
We study the symmetry of solutions to a class of Monge-Ampère type equations in the domain outside a ball. By using a moving plane method and the transform introduced by Jian and Wang, we prove the radially symmetry of the solutions

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