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

2024/07/18 by Kolodziej, Slawomir, Nguyen, Ngoc Cuong
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2407.13130

Abstract

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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