关于复赫西恩方程解的赫尔德正则性的评论

arXiv - MATH - Complex Variables Pub Date : 2024-07-18 DOI:arxiv-2407.13130

Slawomir Kolodziej, Ngoc Cuong Nguyen

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引用次数: 0

摘要

与贝纳利-泽里阿希和查拉巴蒂-泽里阿希之前的结果相比，我们取消了右侧量度总质量有限的假设。

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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 H\"older 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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arXiv - MATH - Complex Variables

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