Hessian 方程预定夹角问题的梯度估计  

Gradient Estimates on Hessian Equations with Prescribed Contact Angle Problem

作　　者：孙文静 韩菲[1] 袁胜通 SUN Wenjing;HAN Fei;YUAN Shengtong(School 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：《山东航空学院学报》2024年第6期85-90,共6页Journal of Binzhou University

基　　金：国家自然科学基金项目(12061078)。

摘　　要：研究一类Hessian方程预定夹角问题,选取适当的辅助函数,利用活动标架法、极大值原理和基本对称函数的性质,在一般结构性条件下,得到当f依赖于x,u,Du时,该方程解的全局梯度估计。Hessian equations with prescribed contact angle boundary value has been studied.By choosing a suitable auxiliary functions,using the moving frame method,the maximum principle and the properties of basic symmetric functions,with the general structure condition,the global gradient estimation for the admissible solution of the equations with dependent on x,u and Du has been obtained.

关 键 词：完全非线性 Hessian方程 预定夹角 梯度估计 极大值原理 

分 类 号：O175[理学—数学]