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

被引：1

作者：

Yao, Ruofei ^{[1
,2
]}

Chen, Hongbin ^{[3
]}

Gui, Changfeng ^{[4
]}

机构：

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

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

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

[4] Univ Texas San Antonio, Dept Math, San Antonio, TX 78249 USA

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2021年 / 60卷 / 04期

关键词：

Primary; 35J61; Secondary; 35B06; 35M12; 35B50; LEAST-ENERGY SOLUTIONS; MULTI-PEAK SOLUTIONS; MAXIMUM PRINCIPLE; LAYER SOLUTIONS; MONOTONICITY; INTERIOR;

D O I：

10.1007/s00526-021-01999-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we establish some symmetry results for positive solutions of semilinear elliptic equations with mixed boundary conditions. In particular, we show that the positive solution in a super-spherical sector must be symmetric. The monotonicity property is also proved. Our proof is based on the well-known moving plane methods.

引用

页数：25

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