Interior C2 estimates for a class of sum Hessian equations

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-07-28 DOI:10.1016/j.jde.2025.113631

Changyu Ren, Ziyi Wang

引用次数: 0

Abstract

In this paper, we mainly study the interior

C^{2}

estimates for a class of sum Hessian equations. We establish the interior estimates and the Pogorelov type estimates for

0 < k < n

. If

k = n

, we derive a weaker Pogorelov type estimates.

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一类和Hessian方程的内C2估计

本文主要研究一类和式Hessian方程的内C2估计。我们建立了0<；k<；n的内部估计和Pogorelov型估计。如果k=n，我们得到一个较弱的Pogorelov型估计。

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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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics