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

Published 18 Jul 2024 in math.CV | (2407.13130v2)

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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