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arXiv · 2405.17242

Modulus of Continuity of Solutions to Complex Monge-Amp\`ere Equations on Stein Spaces

Guilherme Cerqueira-Gonçalves
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Abstract

In this paper, we study the modulus of continuity of solutions to Dirichlet problems for complex Monge-Amp\`ere equations with $L^p$ 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.

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Guilherme Cerqueira-Gonçalves. 2024-05-27. Modulus of Continuity of Solutions to Complex Monge-Amp\`ere Equations on Stein Spaces. https://arxiv.org/abs/2405.17242

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