SYMMETRY OF SOLUTIONS TO A CLASS OF MONGE-AMPERE EQUATIONS

被引：1

作者：

Cui, Fan ^{[1
]}

Jian, Huaiyu ^{[1
]}

机构：

[1] Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2019年 / 18卷 / 03期

关键词：

Symmetry solution; asymptotic behavior; Monge-Ampere equation; SEMILINEAR ELLIPTIC-EQUATIONS; GROUND-STATES; REGULARITY; EXISTENCE; BEHAVIOR;

D O I：

10.3934/cpaa.2019060

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the symmetry of solutions to a class of Monge-Ampere type equations from a few geometric problems. We use a new transform to analyze the asymptotic behavior of the solutions near the infinity. By this and a moving plane method, we prove the radially symmetry of the solutions.

引用

页码：1247 / 1259

页数：13

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