Some Lp Liouville theorems on Finsler measure spaces

被引：2
|
作者：
Xia, Qiaoling [1 ]
机构：
[1] Hangzhou Dianzi Univ, Sch Sci, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2023年 / 87卷
关键词：
Finsler measure space; Subharmonic function; Volume comparison; Mean value inequality; GEOMETRY;
D O I：
10.1016/j.difgeo.2023.101987
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let (M, F, m) be a forward complete Finsler measure space with finite reversibility. It is known that every nonnegative Lp(p > 1) subharmonic function on M must be constant ([24]). In this paper, we prove some Liouville theorems of nonnegative Lp(0 < p < 1) subharmonic functions on M with RicN > -K(K > 0). Further, we give a weaker condition on RicN such that every nonnegative Lp(0 < p < 1) subharmonic function on M must be constant (actually zero).(c) 2023 Elsevier B.V. All rights reserved.
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页数：15
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