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退化Hessian商方程斜边值问题的梯度估计
Gradient estimation for the oblique boundary value problem of degenerate Hssiane quotient equations
【摘要】 研究一类退化Hessian商方程斜边值问题,通过选取适当的辅助函数,利用极大值原理和基本对称函数的性质,在■和一般结构条件下得到该方程当f依赖于x和Du时解的全局梯度估计.
【Abstract】 The oblique boundary value problem of degenerate Hessian quotient equations is studied.By choosing an appropriate auxiliary function, utilizing the maximum principle and the properties of basic symmetric functions, the global gradient estimation of the solution of the equation when f depends on x and Du is obtained under ■ and general structural conditions.
【关键词】 退化Hessian商方程;
斜边值;
梯度估计;
【Key words】 Degenerate Hessian quotient equation; Oblique boundary value; Gradient estimate;
【Key words】 Degenerate Hessian quotient equation; Oblique boundary value; Gradient estimate;
【基金】 国家自然科学基金项目(12061078)
- 【文献出处】 宁夏师范学院学报 ,Journal of Ningxia Normal University , 编辑部邮箱 ,2024年07期
- 【分类号】O175.8
- 【下载频次】4