闵可夫斯基空间中曲率方程的Dirichlet问题

IF 1.6 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2025-07-23 DOI:10.1016/j.jfa.2025.111149

Bin Wang

引用次数: 0

摘要

研究了Minkowski空间中图为具有规定曲率的类空间超曲面的函数的Dirichlet问题，得到了相应的完全非线性椭圆型偏微分方程可容许解的一些新的内二阶估计。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Dirichlet problem for the prescribed curvature equations in Minkowski space

We study the Dirichlet problem for functions whose graphs are spacelike hypersurfaces with prescribed curvature in the Minkowski space and we obtain some new interior second order estimates for admissible solutions to the corresponding fully nonlinear elliptic partial differential equations.

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来源期刊

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis