A Dirichlet principle for the complex Monge-Ampere operator

被引：20
|
作者：
Persson, L [1 ]
机构：
[1] Umea Univ, Dept Math, SE-90187 Umea, Sweden
来源：
ARKIV FOR MATEMATIK | 1999年 / 37卷 / 02期
关键词：
D O I：
10.1007/BF02412219
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A solution to a Dirichlet problem for the complex Monge-Ampere operator is characterized as a minimizer of an energy functional. A mutual energy estimate and a generalization of Holder's inequality is proved. A comparison is made with corresponding results in classical potential theory.
引用
收藏
页码：345 / 356
页数：12
相关论文
共 50 条
  • [41] PERTURBATION WITH FUNCTIONS OF THE MONGE-AMPERE OPERATOR
    Haiducu, Marian
    Udrea, Corneliu
    PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE, 2014, 15 (02): : 115 - 122
  • [42] DEFINITION OF THE COMPLEX MONGE-AMPERE OPERATOR FOR ARBITRARY PLURISUBHARMONIC FUNCTIONS
    Sadullaev, A.
    EURASIAN MATHEMATICAL JOURNAL, 2012, 3 (01): : 97 - 109
  • [43] Continuity of the Complex Monge-Ampere operator on compact Kahler manifolds
    Xing, Yang
    MATHEMATISCHE ZEITSCHRIFT, 2009, 263 (02) : 331 - 344
  • [44] Reflection Principle for the Complex Monge-Ampere Equation and Plurisubharmonic Functions
    Koskenoja, Mika
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2019, 29 (04)
  • [45] A COMPLEX MONGE-AMPERE EQUATION
    LAVIL, G
    RAMADANOV, IP
    DOKLADY AKADEMII NAUK SSSR, 1984, 275 (03): : 546 - 548
  • [46] On the Dirichlet problem for Monge-Ampere type equations
    Jiang, Feida
    Trudinger, Neil S.
    Yang, Xiao-Ping
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2014, 49 (3-4) : 1223 - 1236
  • [47] Non-pluripolar energy and the complex Monge-Ampere operator
    Andersson, Mats
    Nystrom, David Witt
    Wulcan, Elizabeth
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2022, 2022 (792): : 145 - 188
  • [48] Monge-Ampere Operator on Four Dimensional Almost Complex Manifolds
    Plis, Szymon
    JOURNAL OF GEOMETRIC ANALYSIS, 2016, 26 (04) : 2503 - 2518
  • [49] AN EIGENVALUE PROBLEM FOR THE COMPLEX MONGE-AMPERE OPERATOR IN PSEUDOCONVEX DOMAINS
    KUTEV, ND
    RAMADANOV, IP
    ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1990, 7 (05): : 493 - 503
  • [50] On the Dirichlet problem for degenerate Monge-Ampere equations
    Guan, PF
    Trudinger, NS
    Wang, XJ
    ACTA MATHEMATICA, 1999, 182 (01) : 87 - 104
12345