The Complex Monge-Ampere Equation in the Cegrell's Classes

被引：0

作者：

Quy, Hoang Nhat ^{[1
]}

机构：

[1] Univ Danang Univ Sci & Educ, Fac Math, Da Nang, Vietnam

来源：

RESULTS IN MATHEMATICS | 2025年 / 80卷 / 01期

关键词：

Monge-Ampere equation; plurisubharmonic functions; pluricomplex energy; epsilon(chi)(Omega); epsilon(chi; loc)(Omega); DIRICHLET PROBLEM;

D O I：

10.1007/s00025-024-02335-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give some local characterizations of existence of solutions of the complex Monge-Ampere equation in the classes epsilon(chi)(Omega) and epsilon(chi, loc)(Omega)

引用

页数：16

共 20 条

[1] Monge-Ampere measures on pluripolar sets [J].

Ahag, Per ;

Cegrell, Urban ;

Czyz, Rafal ;

Pham Hoang Hiep .

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2009, 92 (06) :613-627

[2] DIRICHLET PROBLEM FOR A COMPLEX MONGE-AMPERE EQUATION [J].

BEDFORD, E ;

TAYLOR, BA .

INVENTIONES MATHEMATICAE, 1976, 37 (01) :1-44

[3]

Benelkourchi S., 2009, Acta Univ. Upsaliensis Skr. Uppsala Univ. C Organ. Hist., V86, P57

[4]

BENELKOURCHI S., 2015, Int. J. Partial Differ. Equ., P8, DOI DOI 10.1155/2015/947819

[5] Weighted Pluricomplex Energy [J].

Benelkourchi, Slimane .

POTENTIAL ANALYSIS, 2009, 31 (01) :1-20

[6] Pluricomplex energy [J].

Cegrell, U .

ACTA MATHEMATICA, 1998, 180 (02) :187-217

[7] The general definition of the complex Monge-Ampere operator [J].

Cegrell, U .

ANNALES DE L INSTITUT FOURIER, 2004, 54 (01) :159-+

[8]

Celik HI., 1997, ANN POL MATH, V67, P103, DOI [10.4064/ap-67-2-103-110, DOI 10.4064/AP-67-2-103-110]

[9] MONGE-AMPERE MEASURES AND PLURIHARMONIC MEASURES [J].

DEMAILLY, JP .

MATHEMATISCHE ZEITSCHRIFT, 1987, 194 (04) :519-564

[10] The complex Monge-Ampere equation [J].

Kolodziej, S .

ACTA MATHEMATICA, 1998, 180 (01) :69-117

← 1 2 →