摘要
主要研究了圆环上关于加权调和能量和加权偏差函数的两类极值问题.借助平均值不等式、Iwaniec和Oninnen的方法,得到径向拉伸映射为该类极值问题的解.
Two kinds of extremal problems about weighted harmonic energy and weighted distortion function between annuli are mainly studied.By means of value inequality and the method of Iwaniec and Oninnen,it is proved that the radial stretch mapping is the solution of extreme value problem.
作者
杨燕
YANG Yan(College of Mathematics and Information,China West Normal University,Nanchong,Sichuan 637002)
出处
《绵阳师范学院学报》
2023年第11期1-8,共8页
Journal of Mianyang Teachers＇ College
基金
国家自然科学基金项目(11701459,12271218)。
关键词
加权调和能量
加权偏差函数
径向拉伸映射
weighted harmonic energy
weighted distortion function
radial stretch mapping
