| 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. |
| 关键词: 解的对称性 Monge-Ampère方程 移动平面法 极值原理 |
| DOI： |
| 分类号:O175.23;O175.25;O175.29 |
| 基金项目:Supported by National Natural Science Foundation of China (11771237; 41390452). |
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| SYMMETRY OF SOLUTIONS OF MONGE-AMPÈRE EQUATIONS IN THE DOMAIN OUTSIDE A BALL |
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ZHANG Yun-xia1, JIAN Huai-yu2
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1.Public Class Teaching Department, Shanxi Financial and Taxation College, Taiyuan 030024, China;2.Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China
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| Abstract: |
| 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. |
| Key words: symmetry solution Monge-Ampère equation moving plane extreme principle |
