Symmetry of positive solutions of elliptic equations with mixed boundary conditions in a sub-spherical sector

被引：0

作者：

Chen, Hongbin ^{[1
]}

Li, Rui ^{[2
]}

Yao, Ruofei ^{[3
,4
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China

[2] Shenzhen Technol Univ, Coll Big Data & Internet, Shenzhen 518118, Peoples R China

[3] South China Univ Technol, Sch Math, Guangzhou 510641, Peoples R China

[4] Cent South Univ, Sch Math & Stat, Changsha 410083, Peoples R China

来源：

NONLINEARITY | 2021年 / 34卷 / 06期

基金：

中国国家自然科学基金;

关键词：

semilinear elliptic equations; symmetry; moving planes methods; monotonicity; LEAST-ENERGY SOLUTIONS; OVERDETERMINED PROBLEMS; MAXIMUM PRINCIPLE; UNBOUNDED-DOMAINS; MONOTONICITY; PEAKS;

D O I：

10.1088/1361-6544/abf339

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper is devoted to the qualitative properties of positive solutions to a semilinear elliptic equation in a planar sub-spherical sector. Under certain range of amplitudes, we prove some monotonicity properties via the method of moving planes. The symmetry properties follow from the uniqueness of the corresponding over-determined problem by Farina and Valdinoci (2013 Am. J. Math.).

引用

页码：3858 / 3878

页数：21

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