Weakly Solutions to the Complex Monge–Ampère Equation on Bounded Plurifinely Hyperconvex Domains
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DOI: 10.1007/s11785-018-0821-6
Abstract: Let $$\mu $$μ be a non-negative measure defined on bounded $${\mathcal {F}}$$F-hyperconvex domain $$\Omega $$Ω. We are interested in giving sufficient conditions on $$\mu $$μ such that we can find a plurifinely plurisubharmonic function satisfying… read more here.
Keywords: solutions complex; amp equation; complex monge; weakly solutions ... See more keywords
A Dirichlet Type Problem for Non-Pluripolar Complex Monge-Ampère Equations
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DOI: 10.1007/s40306-025-00574-8
Abstract: In this paper, we study a Dirichlet type problem for the non-pluripolar complex Monge - Ampère equation with prescribed singularity on a bounded domain of Cn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$… read more here.
Keywords: problem non; non pluripolar; pluripolar complex; dirichlet type ... See more keywords
Range of the complex Monge–Ampère operator on plurifinely domain
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DOI: 10.1080/17476933.2017.1325476
Abstract: Abstract In this paper, we study the Dirichlet problem in a plurifinely domain of . We prove that under the suitable conditions, the complex Monge–Ampère equation can be solved in . read more here.
Keywords: plurifinely domain; monge amp; range complex; complex monge ... See more keywords