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arXiv · 1703.01549

On the H\"older continuous subsolution problem for the complex Monge-Amp\`ere equation

Ngoc Cuong Nguyen
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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.

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Ngoc Cuong Nguyen. 2017-03-05. On the H\"older continuous subsolution problem for the complex Monge-Amp\`ere equation. https://arxiv.org/abs/1703.01549

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