Degenerate Complex Monge-Ampe`re Equations with Non-Kahler Forms in Bounded Domains

被引：0

作者：

Salouf, Mohammed ^{[1
]}

机构：

[1] Chouaib Doukkali Univ, Fac Sci, Lab Informat Math & Their Applicat LIMA, El Jadida 24000, Morocco

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2025年 / 74卷 / 01期

关键词：

Monge-Ampere type equations; Cegrell's classes; DIRICHLET PROBLEM; SINGULARITY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

. In this paper, we study weak solutions to complex MongeAmpere equations of the form (omega + dd (c)phi)n = F(phi, <middle dot>) d mu on a bounded strictly pseudoconvex domain in C-n, where omega is a smooth (1, 1)-form, 0 <= F is a continuous non-decreasing function, and mu is a positive non-pluripolar measure. Our results extend previous works of Ko & lstrok;odziej and Nguyen [KN15, KN23a, KN23b] who study bounded Benelkourchi [Ben09, Ben15], and others who treat the case when omega = 0 and/or F = 1.

引用

页码：131 / 156

页数：26

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