A Symmetry Property for Fully Nonlinear Elliptic Equations on the Sphere

被引：0
作者：
Phillipo Lappicy
机构：
[1] Universidade de São Paulo,Instituto de Ciências Matemáticas e de Computação
来源：
Bulletin of the Brazilian Mathematical Society, New Series | 2020年 / 51卷
关键词：
Fully nonlinear elliptic equations; Symmetry property; Spherical Laplace–Beltrami;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The goal of this paper is to study how the symmetry of the spherical domain influences solutions of elliptic equations on such domain. The method pursued is a variant of the moving plane method, discovered by Alexandrov (1962) and used for differential equations by Gidas, Ni and Nirenberg (1979). We obtain a reflectional symmetry result with respect to maxima and minima of solutions.
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页码：671 / 680
页数：9
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