外球区域Monge-Ampère方程解的对称性（英文）  

SYMMETRY OF SOLUTIONS OF MONGE-AMPRE EQUATIONS IN THE DOMAIN OUTSIDE A BALL

作　　者：张云霞[1] 简怀玉[2] ZHANG Yun-xia;JIAN Huai-yu(Public Class Teaching Department,Shanxi Financial and Taxation College,Taiyuan 030024,China;Department of Mathematical Sciences,Tsinghua University,Beijing 100084,China)

机构地区：[1]山西省财政税务专科学校公共课教学部,山西太原030024 [2]清华大学数学科学系,北京100084

出　　处：《数学杂志》2018年第5期761-770,共10页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(11771237;41390452)

摘　　要：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-Ampμere 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.

关 键 词：解的对称性 MONGE-AMPERE方程 移动平面法 极值原理 

分 类 号：O175.23[理学—数学] O175.25[理学—基础数学]