Degenerate Monge-Ampère equation on complex varieties in bounded domains of Cn

被引：0
|
作者：
Alehyane, Omar [1 ]
Amal, Hichame [2 ]
El Gasmi, Ayoub [3 ]
机构：
[1] Chouaib Doukkali Univ, Fac Sci, Dept Math, El Jadida 24000, Morocco
[2] Reg Ctr Trades Educ & Training, Dept Math, Lab LaREAMI, Kenitra, Morocco
[3] Ibn Tofail Univ, Fac Sci, Dept Math, PO 242, Kenitra, Morocco
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2025年 / 542卷 / 01期
关键词：
Plurisubharmonic functions; Monge-Amp & egrave; re operator; Dirichlet problem; Complex varieties; SPACES;
D O I：
10.1016/j.jmaa.2024.128759
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we prove that if V is a locally irreducible hyperconvex variety in a bounded domain of C n and mu is a non-negative measure in V such that mu <= ( dd c w ) k with w is an element of (V pound ( V ), then there exists a function u is an element of (V pound ( V ) such that ( dd c u ) k = mu . (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页数：19
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