Large solutions to complex Monge-Ampère equations: existence, uniqueness and asymptotics

DOI10.1007/s11401-011-0657-0zbMath1296.32017OpenAlexW2043877442MaRDI QIDQ741437

Ni Xiang, Xiao-Ping Yang

Publication date: 12 September 2014

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-011-0657-0

zbMATH Keywords

complex Monge-Ampère equationstrictly pseudoconvex domainsboundary blow-up problems

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Complex Monge-Ampère operators (32W20)

Related Items (1)

Boundary behavior of large solutions to the Monge-Ampère equations with weights

Cites Work

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• Interior regularity of solutions to a complex Monge-Ampère equation
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• The complex Monge-Ampère equation with infinite boundary value
• The blow-up rate of solutions to boundary blow-up problems for the complex Monge-Ampère operator
• Regularity of the pluricomplex Green function with several poles
• On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation
• The \(C^{1,1}\) regularity of the pluricomplex Green function

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