Some symmetry results and Liouville-type theorems for solutions to semilinear equations

被引:8
作者
Farina, Alberto [1 ]
机构
[1] Univ Picardie Jules Verne, LAMFA, CNRS, UMR 7352, F-80039 Amiens, France
关键词
Symmetry; Liouville-type theorems; ELLIPTIC-EQUATIONS; UNBOUNDED-DOMAINS;
D O I
10.1016/j.na.2015.02.004
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the one-dimensional symmetry and the monotonicity of positive and bounded solutions to semilinear elliptic equations in euclidean half-spaces. We also prove some Liouville-type theorems for stable and finite Morse index entire solutions. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码:223 / 229
页数:7
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