Holder continuous solutions to the complex Monge-AmpSre equations in non-smooth pseudoconvex domains

被引：10

作者：

Nguyen Xuan Hong ^{[1
]}

Tran Van Thuy ^{[1
]}

机构：

[1] Hanoi Natl Univ Educ, Dept Math, 136 Xuan Thuy St, Hanoi, Vietnam

来源：

ANALYSIS AND MATHEMATICAL PHYSICS | 2018年 / 8卷 / 03期

关键词：

plurisubharmonic functions; Holder continuous; Dirichlet problem; complex Monge-Ampere equations; PLURIFINELY PLURISUBHARMONIC-FUNCTIONS; COMPACT KAHLER-MANIFOLDS; DIRICHLET PROBLEM; AMPERE EQUATIONS; OPERATOR; APPROXIMATION; REGULARITY; PROPERTY;

D O I：

10.1007/s13324-017-0175-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the Holder continuity for solutions to the complex Monge-AmpSre equations on non-smooth pseudoconvex domains of plurisubharmonic type m.

引用

页码：465 / 484

页数：20

共 50 条

[1] Degenerate complex Monge-AmpSre flows on strictly pseudoconvex domains
Do, Hoang Son
MATHEMATISCHE ZEITSCHRIFT, 2017, 287 (1-2) : 587 - 614
[2] Hölder continuous solutions to the complex Monge–Ampère equations in non-smooth pseudoconvex domains
Nguyen Xuan Hong
Tran Van Thuy
Analysis and Mathematical Physics, 2018, 8 : 465 - 484
[3] Large solutions to complex Monge-AmpSre equations: Existence, uniqueness and asymptotics
Xiang, Ni
Yang, Xiaoping
CHINESE ANNALS OF MATHEMATICS SERIES B, 2011, 32 (04) : 569 - 580
[4] A viscosity approach to the Dirichlet problem for complex Monge-AmpSre equations
Wang, Yu
MATHEMATISCHE ZEITSCHRIFT, 2012, 272 (1-2) : 497 - 513
[5] Complex Monge-Ampsre equations on quasi-projective varieties
Di Nezza, Eleonora
Lu, Chinh H.
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2017, 727 : 145 - 167
[6] Weak solutions to degenerate complex Monge-AmpSre flows I
Eyssidieux, Philippe
Guedj, Vincent
Zeriahi, Ahmed
MATHEMATISCHE ANNALEN, 2015, 362 (3-4) : 931 - 963
[7] Parabolic complex Monge-AmpSre type equations on closed Hermitian manifolds
Sun, Wei
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2015, 54 (04) : 3715 - 3733
[8] Hyperconvexity of non-smooth pseudoconvex domains
Wang, Xu
ANNALES POLONICI MATHEMATICI, 2014, 111 (01) : 1 - 11
[9] Holder Regularity of the 2D Dual Semigeostrophic Equations via Analysis of Linearized Monge-AmpSre Equations
Le, Nam Q.
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2018, 360 (01) : 271 - 305
[10] Existence of convex solutions for systems of Monge-AmpSre equations (vol 2015, pg 128, 2015)
Gao, Min
Wang, Fanglei
BOUNDARY VALUE PROBLEMS, 2016,

← 1 2 3 4 5 →