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
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