一类曲率方程解的梯度估计  

Gradient Estimation for a Class of Curvature Equations

作　　者：吴婷婷 韩菲[1] 孙文静 WU Tingting;HAN Fei;SUN Wenjing(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6期65-69,共5页Journal of Binzhou University

基　　金：国家自然科学基金项目(12061078)。

摘　　要：通过微分的方法以及选取适当的辅助函数研究一类具有Neumann边值问题曲率方程的解,利用函数在极大值点的性质得到解的C^(0)估计、C^(1)估计以及u_(t)估计,进而得到此类方程解的存在性。The solution of a class of curvature equations with Neumann boundary value problem is studied by the method of differentiation and the selection of appropriate auxiliary functions.The C^(0)estimation,C^(1)estimation and u_(t)estimation of the solution are obtained by using the property of the function at the maximum point,and the existence of the solution of this kind of equation is obtained.

关 键 词：曲率方程 NEUMANN边界 极值原理 梯度估计 

分 类 号：O175[理学—数学]