Holder continuity of solutions of the Dirichlet problem in pseudoconvex domains

被引：0

作者：

Trao, Nguyen Van ^{[1
]}

Hong, Nguyen Xuan ^{[1
]}

Trang, Pham Nguyen Thu ^{[1
]}

机构：

[1] Hanoi Natl Univ Educ, Dept Math, Hanoi, Vietnam

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2024年 / 69卷 / 09期

关键词：

Plurisubharmonic function; Dirichlet problem; complex Monge-Ampere operator; MONGE-AMPERE EQUATION; REGULARITY;

D O I：

10.1080/17476933.2023.2229746

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper aims to study the Dirichlet problem to the complex Monge-Ampere operator in pseudoconvex domains of strictly plurisubharmonic type. We prove the Holder continuity of solutions to this problem.

引用

页码：1523 / 1536

页数：14

共 50 条

[41] ASYMPTOTIC BEHAVIOR OF POSITIVE SOLUTIONS OF A SEMILINEAR DIRICHLET PROBLEM IN EXTERIOR DOMAINS
Maagli, Habib
Alzahrani, Abdulah Khamis
El Abidine, Zagharide Zine
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
[42] ESTIMATE FOR THE RESOLVENT OF THE DIRICHLET PROBLEM IN THE HOLDER SPACES
BOLLEY, P
CAMUS, J
LAI, PT
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1987, 305 (06): : 253 - 256
[43] Dirichlet Problem in Domains of Cn
Guedj, Vincent
Zeriahi, Ahmed
COMPLEX MONGE-AMPERE EQUATIONS AND GEODESICS IN THE SPACE OF KAHLER METRICS, 2012, 2038 : 13 - 32
[44] ON THE CONTINUITY OF THE CAUCHY PROJECTOR IN HOLDER NORMS FOR CLASSICAL DOMAINS
JORICKE, B
MATHEMATISCHE NACHRICHTEN, 1983, 112 : 227 - 244
[45] Holder Type Estimates for the partial derivative-Equation in Strongly Pseudoconvex Domains
Ahn, Heungju
Cho, Hong Rae
Park, Jong-Do
RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2008, 120 : 127 - 138
[46] ON THE NONLINEAR PARABOLIC-SYSTEMS IN DIVERGENCE FORM - HOLDER CONTINUITY AND PARTIAL HOLDER CONTINUITY OF THE SOLUTIONS
CAMPANATO, S
ANNALI DI MATEMATICA PURA ED APPLICATA, 1984, 137 : 83 - 122
[47] Analyticity of Dirichlet-Neumann operators on Holder and Lipschitz domains
Hu, B
Nicholls, DP
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2005, 37 (01) : 302 - 320
[48] HOLDER CONTINUITY OF SOLUTIONS TO A PARAMETRIC VARIATIONAL INEQUALITY
YEN, ND
APPLIED MATHEMATICS AND OPTIMIZATION, 1995, 31 (03): : 245 - 255
[49] Holder continuity of solutions to an anisotropic elliptic equation
Liskevich, Vitali
Skrypnik, Igor I.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (5-6) : 1699 - 1708
[50] Holder Continuity of Solutions to the Kinematic Dynamo Equations
Friedlander, Susan
Suen, Anthony
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2014, 16 (04) : 691 - 700

← 1 2 3 4 5 →