Modulus of Continuity of Solutions to Complex Monge-Amp\`ere Equations on Stein Spaces
Complex Variables
2026-01-22 v3 Analysis of PDEs
Differential Geometry
Abstract
In this paper, we study the modulus of continuity of solutions to Dirichlet problems for complex Monge-Amp\`ere equations with densities on Stein spaces with isolated singularities. In particular, we prove such solutions are H\"older continuous outside singular points if the boundary data is H\"older continuous.
Keywords
Cite
@article{arxiv.2405.17242,
title = {Modulus of Continuity of Solutions to Complex Monge-Amp\`ere Equations on Stein Spaces},
author = {Guilherme Cerqueira-Gonçalves},
journal= {arXiv preprint arXiv:2405.17242},
year = {2026}
}
Comments
14 pages. Final version to appear in IUMJ