H\"older regularity for solutions to complex Monge-Amp\`ere equations
Complex Variables
2014-03-17 v1
Abstract
We consider the Dirichlet problem for the complex Monge-Amp\`ere equation in a bounded strongly hyperconvex Lipschitz domain in . We first give a sharp estimate on the modulus of continuity of the solution when the boundary data is continuous and the right hand side has a continuous density. Then we consider the case when the boundary value function is and the right hand side has a density in for some and prove the H\"older continuity of the solution.
Cite
@article{arxiv.1403.3666,
title = {H\"older regularity for solutions to complex Monge-Amp\`ere equations},
author = {Mohamad Charabati},
journal= {arXiv preprint arXiv:1403.3666},
year = {2014}
}