July 17, 2024Open Access

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

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Resumen

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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Kołodziej et al. (Wed,) studied this question.

synapsesocial.com/papers/68e60128b6db643587594b60 https://doi.org/https://doi.org/10.48550/arxiv.2407.13130

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