退化Hessian商方程Neumann问题的梯度估计  

Gradient Estimates on Degenerate Hessian Equations with Neumann Problem

作　　者：孙文静 韩菲[1] 武春雨 

机构地区：[1]新疆师范大学数学科学学院,新疆 乌鲁木齐

出　　处：《理论数学》2024年第9期61-66,共6页Pure Mathematics

摘　　要：研究一类退化Hessian商方程Neumann问题,通过选取恰当的辅助函数,利用极大值原理和基本对称函数的性质,在条件f1/k−l∈C1(Ω¯×ℝn)下得到该方程当f依赖于x,Du时解的全局梯度估计。In this paper, degenerate Hessian quotient equations with Neumann problem has studied. By choosing suitable auxiliary functions, using the maximum principle and the properties of basic symmetric functions, with the f1/k−l∈C1(Ω¯×ℝn)condition, the global gradient estimation for the admissible solution of the equations with dependent on x and Du has obtained.

关 键 词：退化Hessian商方程 NEUMANN问题 梯度估计 

分 类 号：O17[理学—数学]