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退化Hessian商方程斜边值问题的梯度估计

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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f1/k-l∈ C1((Ω)×(R)n)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.
Gradient estimation for the oblique boundary value problem of degenerate Hessian quotient equations
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 f1/k-l ∈ C1((Ω)×(R)n)and general structural conditions.

Degenerate Hessian quotient equationOblique boundary valueGradient estimate

孙文静、韩菲

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新疆师范大学数学科学学院,新疆乌鲁木齐 830017

退化Hessian商方程 斜边值 梯度估计

国家自然科学基金项目

12061078

2024

宁夏师范学院学报
宁夏师范学院

宁夏师范学院学报

影响因子:0.138
ISSN:1674-1331
年,卷(期):2024.45(7)