| 徐博韬,熊玉妮,向妮.一类混合型Hessian方程的Neumann边值问题[J].数学年刊A辑,2025,46(4):383~402 |
| 一类混合型Hessian方程的Neumann边值问题 |
| The Neumann Problem for a Class of Mixed-Type Hessian Equations |
| Received:April 14, 2025 Revised:September 26, 2025 |
| DOI：10.16205/j.cnki.cama.2025.0025 |
| 中文关键词: Neumann问题 先验估计 混合型Hessian方程 |
| 英文关键词:Neumann problem A priori estimate Mixed-type Hessian equations |
| 基金项目:国家自然科学基金(No. 11971157, No. 12426532, No. 12571213) |
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| 中文摘要: |
| 该文导出了一类具有Neumann 边界条件的混合型 Hessian 方程的先验估计, 得到了这类混合型Hessian 方程经典 Neumann 问题容许解的存在性定理. |
| 英文摘要: |
| This paper derives the a priori estimates for a class of mixed-type Hessian equations with Neumann boundary conditions, and establishes the existence theorem for admissible solutions to the classical Neumann problem of such mixed-type Hessian equations. |
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