Complex Monge-Ampère Equation in Strictly Pseudoconvex Domains

Hoang-Son Do; Thai Duong Do; Hoang Hiep Pham

doi:10.1007/s40306-018-00313-2

Complex Monge-Ampère Equation in Strictly Pseudoconvex Domains

Acta Mathematica Vietnamica ◽

10.1007/s40306-018-00313-2 ◽

2019 ◽

Vol 45 (1) ◽

pp. 93-101

Author(s):

Hoang-Son Do ◽

Thai Duong Do ◽

Hoang Hiep Pham

Keyword(s):

Pseudoconvex Domains ◽

Monge Ampere

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An eigenvalue problem for the complex Monge-Ampère operator in pseudoconvex domains

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/s0294-1449(16)30289-x ◽

1990 ◽

Vol 7 (5) ◽

pp. 493-503 ◽

Cited By ~ 1

Author(s):

N.D. Kutev ◽

I.P. Ramadanov

Keyword(s):

Eigenvalue Problem ◽

Pseudoconvex Domains ◽

Monge Ampere

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The Dirichlet Problem for the Complex Monge–Ampère Operator on Strictly Plurifinely Pseudoconvex Domains

Complex Analysis and Operator Theory ◽

10.1007/s11785-021-01178-4 ◽

2021 ◽

Vol 15 (8) ◽

Author(s):

Nguyen Xuan Hong ◽

Pham Thi Lieu

Keyword(s):

Dirichlet Problem ◽

Pseudoconvex Domains ◽

Monge Ampere

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Boundary regularity of the solution to the complex Monge-Ampère equation on pseudoconvex domains of infinite type

Mathematical Research Letters ◽

10.4310/mrl.2015.v22.n2.a7 ◽

2015 ◽

Vol 22 (2) ◽

pp. 467-484 ◽

Cited By ~ 4

Author(s):

Ly Kim Ha ◽

Tran Vu Khanh

Keyword(s):

Boundary Regularity ◽

Pseudoconvex Domains ◽

Infinite Type ◽

Monge Ampere

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Hölder continuous solutions to the complex Monge–Ampère equations in non-smooth pseudoconvex domains

Analysis and Mathematical Physics ◽

10.1007/s13324-017-0175-7 ◽

2017 ◽

Vol 8 (3) ◽

pp. 465-484 ◽

Cited By ~ 5

Author(s):

Nguyen Xuan Hong ◽

Tran Van Thuy

Keyword(s):

Pseudoconvex Domains ◽

Continuous Solutions ◽

Hölder Continuous ◽

Monge Ampere

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Correction to "Monge-Ampere Equations, the Bergman Kernel, and Geometry of Pseudoconvex Domains"

Annals of Mathematics ◽

10.2307/1970961 ◽

1976 ◽

Vol 104 (3) ◽

pp. 393 ◽

Cited By ~ 14

Author(s):

C. Fefferman

Keyword(s):

Bergman Kernel ◽

Pseudoconvex Domains ◽

Monge Ampere

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Note on a general complex Monge-Ampère equation on pseudoconvex domains of infinite type

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.92.136 ◽

2016 ◽

Vol 92 (10) ◽

pp. 136-140

Author(s):

Ly Kim Ha

Keyword(s):

Pseudoconvex Domains ◽

Infinite Type ◽

General Complex ◽

Monge Ampere

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The complex Monge–Ampère equation on weakly pseudoconvex domains

Comptes Rendus Mathematique ◽

10.1016/j.crma.2017.02.004 ◽

2017 ◽

Vol 355 (4) ◽

pp. 411-414 ◽

Cited By ~ 3

Author(s):

Luca Baracco ◽

Tran Vu Khanh ◽

Stefano Pinton

Keyword(s):

Pseudoconvex Domains ◽

Weakly Pseudoconvex ◽

Monge Ampere

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Degenerate complex Monge–Ampère flows on strictly pseudoconvex domains

Mathematische Zeitschrift ◽

10.1007/s00209-016-1838-z ◽

2017 ◽

Vol 287 (1-2) ◽

pp. 587-614 ◽

Cited By ~ 1

Author(s):

Hoang Son Do

Keyword(s):

Pseudoconvex Domains ◽

Monge Ampere

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Monge-Ampere Equations, the Bergman Kernel, and Geometry of Pseudoconvex Domains

Annals of Mathematics ◽

10.2307/1970945 ◽

1976 ◽

Vol 103 (3) ◽

pp. 395 ◽

Cited By ~ 151

Author(s):

Charles L. Fefferman

Keyword(s):

Bergman Kernel ◽

Pseudoconvex Domains ◽

Monge Ampere

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Peak functions and boundary behaviour of holomorphically invariant distances and metrics on strictly pseudoconvex domains

ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA - CLASSE DI SCIENZE ◽

10.2422/2036-2145.201706_016 ◽

2020 ◽

Vol 21 (1) ◽

pp. 89-106 ◽

Cited By ~ 1

Author(s):

Arkadiusz Lewandowski

Keyword(s):

Pseudoconvex Domains ◽

Boundary Behaviour ◽

Peak Functions ◽

Invariant Distances

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