A remark on the H\"older regularity of solutions to the complex Hessian equation
Complex Variables
2025-04-07 v2
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.
Cite
@article{arxiv.2407.13130,
title = {A remark on the H\"older regularity of solutions to the complex Hessian equation},
author = {Slawomir Kolodziej and Ngoc Cuong Nguyen},
journal= {arXiv preprint arXiv:2407.13130},
year = {2025}
}
Comments
13 pages, updated references. This is the final version, to appear in JFA