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.
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