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arXiv · 1802.00186

Weakly solutions to the complex Monge-Amp\`ere equation on bounded plurifinely hyperconvex domains

Nguyen Xuan Hong·Hoang Van Can
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Abstract

Let $\mu$ be a non-negative measure defined on bounded $\mathcal F$-hyperconvex domain $\Omega$. We are interested in giving sufficient conditions on $\mu$ such that we can find a plurifinely plurisubharmonic function satisfying $NP (dd^c u)^n =\mu$ in $QB(\Omega)$.

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Nguyen Xuan Hong, Hoang Van Can. 2018-02-01. Weakly solutions to the complex Monge-Amp\`ere equation on bounded plurifinely hyperconvex domains. https://arxiv.org/abs/1802.00186

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