一类具有预定夹角边值问题的平均曲率方程解的梯度估计

doi:10.3969/j.issn.1006-8074.2024.03.007

数学理论与应用 ›› 2024, Vol. 44 ›› Issue (3): 94-.doi: 10.3969/j.issn.1006-8074.2024.03.007

一类具有预定夹角边值问题的平均曲率方程解的梯度估计

袁胜通,韩菲^*

新疆师范大学数学科学学院, 乌鲁木齐, 830017

出版日期:2024-09-28 发布日期:2024-11-06

Gradient Estimate of Solutions to a Class of Mean Curvature Equations with Prescribed Contact Angle Boundary Problem

Yuan Shengtong,Han Fei^*

School of Mathematical Sciences, Xinjiang Normal University, Urumqi 830017, China

Online:2024-09-28 Published:2024-11-06
Supported by:
This work is supported by the National Natural Science Foundation of China (No. 12061078)

摘要/Abstract

摘要： 本文研究一类平均曲率方程的预定夹角边值问题, 运用极大值原理和活动标架法, 根据最大值点所在的位置给出方程解的边界梯度估计.

关键词: 活动标架法, 极值原理, 预定夹角边值问题, 平均曲率方程

Abstract:

This paper studies the prescribed contact angle boundary value problem of a certain type of mean curvature equation. Applying the maximum principle and the moving frame method and based on the location of the maximum point, the boundary gradient estimation of the solutions to the equation is obtained.

Key words: Moving frame, Maximum principle, Prescribed contact angle boundary value problem, Mean curvature equation

袁胜通, 韩菲. 一类具有预定夹角边值问题的平均曲率方程解的梯度估计[J]. 数学理论与应用, 2024, 44(3): 94-.

Yuan Shengtong, Han Fei. Gradient Estimate of Solutions to a Class of Mean Curvature Equations with Prescribed Contact Angle Boundary Problem[J]. Mathematical Theory and Applications, 2024, 44(3): 94-.

一类具有预定夹角边值问题的平均曲率方程解的梯度估计

Gradient Estimate of Solutions to a Class of Mean Curvature Equations with Prescribed Contact Angle Boundary Problem

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