半空间中和 Hessian 方程的柳维尔定理

IF 1.3 2区数学 Q1 MATHEMATICS

Nonlinear Analysis-Theory Methods & Applications Pub Date : 2024-11-02 DOI:10.1016/j.na.2024.113692

Xiaobiao Jia , Shanshan Ma

引用次数: 0

摘要

在本文中，我们考虑了半空间中 Sum Hessian 方程 k 个凸解的 Liouville 定理。关键在于证明波哥列洛夫式估计直到平边界。

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 Liouville theorem for Sum Hessian equations in half spaces

In this paper, we consider the Liouville theorem for

k

-convex solutions to Sum Hessian equations in half spaces. The key is to show the Pogorelov type estimate up to the flat boundary.

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来源期刊

Nonlinear Analysis-Theory Methods & Applications 数学-数学

CiteScore

3.30

自引率

0.00%

发文量

265

审稿时长

60 days

期刊介绍： Nonlinear Analysis focuses on papers that address significant problems in Nonlinear Analysis that have a sustainable and important impact on the development of new directions in the theory as well as potential applications. Review articles on important topics in Nonlinear Analysis are welcome as well. In particular, only papers within the areas of specialization of the Editorial Board Members will be considered. Authors are encouraged to check the areas of expertise of the Editorial Board in order to decide whether or not their papers are appropriate for this journal. The journal aims to apply very high standards in accepting papers for publication.