Envelope of plurifinely plurisubharmonic functions and complex Monge-Ampère type equation

Abstract This paper aims to study the complex Monge-Ampère measure of an envelope of 𝓕-plurisubharmonic functions. As an application, we prove the existence of a solution to the complex Monge-Ampère type equation in bounded 𝓕-hyperconvex domains.

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Publication Details

Journal
Mathematica Slovaca
Published
2025-12-01
DOI
https://doi.org/10.1515/ms-2025-0101
Primary Topic
Geometry and complex manifolds
Type
article
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Envelope of plurifinely plurisubharmonic functions and complex Monge-Ampère type equation

Nguyen Xuan Hong, Nguyễn Đức Hưng
Mathematica Slovaca
Geometry and complex manifolds
article

Envelope of plurifinely plurisubharmonic functions and complex Monge-Ampère type equation

Nguyen Xuan Hong, Nguyễn Đức Hưng
article en

Abstract

Abstract This paper aims to study the complex Monge-Ampère measure of an envelope of 𝓕-plurisubharmonic functions. As an application, we prove the existence of a solution to the complex Monge-Ampère type equation in bounded 𝓕-hyperconvex domains.

Mathematica SlovacaVol. 75(6)
Hanoi National University of Education (VN), University Of Transport Technology (VN)
Openalex Percentile: Top 55%
Geometry and complex manifolds
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Envelope of plurifinely plurisubharmonic functions and complex Monge-Ampère type equation — Nguyen Xuan Hong, Nguyễn Đức Hưng · Mathematica Slovaca (2025) | TGRS Research Map | TGRS