Φ_(S,p,ε)-调和映射的刘维尔型定理  

Liouville Theorems for Φ_(S,p,ε)-harmonic Map

作　　者：韩英波 韩晓园 薛玉莹 石晨昕 曾一凤 HAN Yingbo;HAN Xiaoyuan;XUE Yuying;SHI Chenxin;ZENG Yifeng(School of Mathematics and Statistics,Xinyang Normal University,Xinyang 464000,Henan)

机构地区：[1]信阳师范学院数学与统计学院,河南信阳464000

出　　处：《四川师范大学学报（自然科学版）》2023年第3期362-373,共12页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(11971415)。

摘　　要：引入Φ_(S,p,ε)-调和映射的概念,它是能量泛函E_(Φ_(S,p,ε))(u)关于u的任意紧支变分的临界点.通过应力-能量张量,得到该映射的单调公式.利用映射在无穷远处的渐进行为,得到Φ_(S,p,ε)-调和映射的一些刘维尔型定理.In this paper,we introduce the notion ofΦ_(S,p,ε)-harmonic map,which is a critical point of the energy functionalΦ_(S,p,ε)(u)with respect to any compactly supported variation of u.We use the stress-energy tensor to establish the monotone formula for the map.We obtain the Liouville type theorems for theΦ_(S,p,ε)-harmonic map by using the asymptotic behavior of the map at infinity.

关 键 词：Φ_(S p ε)-调和映射 刘维尔定理 应力-能量张量 单调公式 

分 类 号：O186.1[理学—数学]