加权Dirichlet能量的内变分  

Inner variation of weighted Dirichlet energy

作　　者：刘初玥 LIU Chuyue(School of Mathematics and Information,China West Normal University,Nanchong,Sichuan 637009,China)

机构地区：[1]西华师范大学数学与信息学院,四川南充637009

出　　处：《内江师范学院学报》2022年第8期25-27,共3页Journal of Neijiang Normal University

基　　金：国家自然科学基金项目(11701459);西华师范大学科研启动基金项目(17E088)。

摘　　要：为研究加权Dirichlet能量的内变分,将加权Dirichlet能量展开为关于ε的幂次型,再根据条件判断内变分是否不会减少能量.之后通过构造同心圆的反射来找到ρ-Hopf乘积为零时Dirichlet能量有限的简单例子.In order to consider the inner variation of weighted Dirichlet energy,the weighted Dirichlet energy is expand into the power type ofε.Then according to the special condition,a judgement about weather the inner variation will reduce energy is made.A simple example of finite weighted Dirichlet energy with zeroρ-Hopf product will be found by constructing the reflection of concentric circles.

关 键 词：加权Dirichlet能量 ρ-Hopf乘积 内变分 微分同胚 

分 类 号：O174.5[理学—数学]