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IF 1.7 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2025-04-14 DOI:10.1016/j.jfa.2025.111005

Sławomir Kołodziej , Ngoc Cuong Nguyen

引用次数: 0

摘要

我们证明，复 Hessian 方程的 Dirichlet 问题只要有一个子解具有这一性质，就有 Hölder 连续解。与贝纳利-泽里亚希和查拉巴蒂-泽里亚希之前的结果相比，我们取消了对右侧度量的有限总质量的假设。

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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A remark on the Hölder regularity of solutions to the complex Hessian equation

We prove that the Dirichlet problem for the complex Hessian equation has the Hölder continuous solution provided it has a subsolution with this property. Compared to the previous result of Benali-Zeriahi and Charabati-Zeriahi we remove the assumption on the finite total mass of the measure on the right hand side.

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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