A remark on the H\"older regularity of solutions to the complex Hessian equation

Slawomir Kolodziej; Ngoc Cuong Nguyen

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arXiv · 2407.13130

A remark on the H\"older regularity of solutions to the complex Hessian equation

Slawomir Kolodziej·Ngoc Cuong Nguyen

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Abstract

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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Slawomir Kolodziej, Ngoc Cuong Nguyen. 2024-07-18. A remark on the H\"older regularity of solutions to the complex Hessian equation. https://arxiv.org/abs/2407.13130

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