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

2018/02/01 by Nguyen Xuan Hong, Hong, Nguyen Xuan, Hoang Van Can +1
Mathematics · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.1802.00186

Abstract

Let \μ be a non-negative measure defined on bounded mathcal\nF-hyperconvex domain \Ω. We are interested in giving sufficient\nconditions on \μ such that we can find a plurifinely plurisubharmonic\nfunction satisfying NP (dd^c u)ⁿ =\μ in QB(\Ω).\n

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