DIRICHLET PROBLEM FOR DEGENERATE ELLIPTIC COMPLEX MONGE-AMPERE EQUATION

被引：0

作者：

Kallel-Jallouli, Saoussen ^{[1
]}

机构：

[1] Fac Sci, Tunis 1060, Tunisia

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2004年

关键词：

Degenerate elliptic; omplex Monge-Ampere; Plurisubharmonic function;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Dirichlet problem [GRAPHICS] where Omega is a bounded open set of C-n with regular boundary, g and phi are sufficiently smooth functions, and g is non-negative. We prove that, under additional hypotheses on g and phi, if vertical bar det phi(ij) - g vertical bar C-s* is sufficiently small the problem has a plurisubharmonic solution.

引用

页数：24

共 36 条

[11] Holder regularity for solutions to complex Monge-Ampere equations
Charabati, Mohamad
[J]. ANNALES POLONICI MATHEMATICI, 2015, 113 (02) : 109 - 127
[12] An equality on Monge-Ampere measures
El Kadiri, Mohamed
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 519 (02)
[13] Comparison of Monge-Ampere capacities
Lu, Chinh H.
[J]. ANNALES POLONICI MATHEMATICI, 2021, 126 (01) : 31 - 53
[14] Monge-Ampere measures on subvarieties
Ahag, Per
Cegrell, Urban
Pham Hoang Hiep
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 423 (01) : 94 - 105
[15] Monge-Ampere Operator on Four Dimensional Almost Complex Manifolds
Plis, Szymon
[J]. JOURNAL OF GEOMETRIC ANALYSIS, 2016, 26 (04) : 2503 - 2518
[16] The global dirichlet problem for the complex Monge-Ampère equation
Urban Cegrell
Sławomir Kołodziej
[J]. The Journal of Geometric Analysis, 1999, 9 (1) : 41 - 49
[17] Monge-Ampere measures on pluripolar sets
Ahag, Per
Cegrell, Urban
Czyz, Rafal
Pham Hoang Hiep
[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2009, 92 (06): : 613 - 627
[18] A COMPARISON PRINCIPLE FOR THE COMPLEX MONGE-AMPERE OPERATOR IN CEGRELL'S CLASSES AND APPLICATIONS
Nguyen Van Khue
Pham Hoang Hiep
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 361 (10) : 5539 - 5554
[19] Vector spaces of delta-plurisubharmonic functions and extensions of the complex Monge-Ampere operator
Ahag, Per
Cegrell, Urban
Czyz, Rafal
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 422 (02) : 960 - 980
[20] Non-commutative determinants and quaternionic Monge-Ampere equations
Alesker, S
[J]. ADVANCES IN ANALYSIS AND GEOMETRY: NEW DEVELOPMENTS USING CLIFFORD ALGEBRAS, 2004, : 289 - 300

← 1 2 3 4 →