具有预定夹角边值问题的平均曲率方程的边界梯度估计  

Boundary Gradient Estimation for the Mean Curvature Equation with a Predetermined Angle Boundary Value Problem

作　　者：司雨欣 韩菲[1] 孙生晖 SI Yuxin;HAN Fei;SUN Shenghui(College of Mathematical Sciences,Xinjiang Normal University,Urumqi 830017,China)

机构地区：[1]新疆师范大学数学科学学院,新疆乌鲁木齐830017

出　　处：《滨州学院学报》2023年第4期56-62,共7页Journal of Binzhou University

基　　金：国家自然科学基金项目(12061078)。

摘　　要：运用极大值原理和活动标架法研究了具有预定夹角边值问题的平均曲率方程,根据点所在位置分为三种情况进行讨论,得到了平均曲率方程预定夹角问题的边界梯度估计。The maximum principle and the moving frame method are used to study the mean curvature equation of the boundary value problem with a predetermined included angle.According to the location of the point,the discussion is divided into three cases,and the boundary gradient estimation of the mean curvature equation of the predetermined included angle problem is obtained.

关 键 词：活动标架 极大值原理 梯度估计 预定夹角边值 平均曲率方程 

分 类 号：O175[理学—数学]