On the H\"older continuous subsolution problem for the complex Monge-Amp\`ere equation
Complex Variables
2018-03-08 v1
Abstract
We give a necessary and sufficient condition for positive Borel measures such that the Dirichlet problem, with zero boundary data, for the complex Monge-Amp\`ere equation admits H\"older continuous plurisubharmonic solutions. In particular, when the subsolution has finite Monge-Amp\`ere total mass, we obtain an affirmative answer to a question of Zeriahi.
Keywords
Cite
@article{arxiv.1703.01549,
title = {On the H\"older continuous subsolution problem for the complex Monge-Amp\`ere equation},
author = {Ngoc Cuong Nguyen},
journal= {arXiv preprint arXiv:1703.01549},
year = {2018}
}
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16 pages