On the solution of Dirichlet problem of complex Monge-Ampère equation on Cartan-Hartogs domain of the second type

DOI10.1007/S11425-009-0221-5zbMath1194.65040OpenAlexW1980822213MaRDI QIDQ983659

Weiping Yin, Xiaolan Yin

Publication date: 24 July 2010

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0221-5

zbMATH Keywords

Dirichlet problemKähler-Einstein metriccomplex Monge-Ampère equationCartan-Hartogs domainplurisubharmonic solution

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Monge-Ampère equations (35J96)

Cites Work

• Unnamed Item
• The Kähler-Einstein metric for some Hartogs domains over symmetric domains
• On the solution of Dirichlet's problem of the complex Monge-Ampère equation for the Cartan-Hartogs domain of the first type
• The Einstein-Kähler metric on the third Cartan-Hartogs domain
• The Einstein-Kähler metric on \(\{| z| ^ 2+| w| ^{2p}<1\}\)
• The Einstein-Kähler metrics on Cartan-Hartogs domain of the first type
• The computation of the Einstein-Kähler metric of Cartan-Hartogs domains
• A research into the numerical method of Dirichlet's problem of complex Monge-Ampère equation on Cartan-Hartogs domain of the third type
• Einstein-Kähler metric with explicit formula on super-Cartan domain of the fourth type
• The Einstein-Kähler metric on Hua construction of the first type
• Einstein-Kähler metric on Cartan-Hartogs domain of the second type
• THE EINSTEIN-KÄHLER METRICS ON HUA DOMAIN
• On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation

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