Large Solutions to Complex Monge-Amp`ere Equations:Existence, Uniqueness and Asymptotics |
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| Authors: | Ni XIANG and Xiaoping YANG |
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| Affiliation: | 1. Faculty of Mathematics and Computer Science, Hubei University, Wuhan 430000, China
2. School of Science, Nanjing University of Science and Technology, Nanjing 210094, China |
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| Abstract: | The authors consider the complex Monge-Ampère equation det( ui[`(j)] )left( {u_{ibar j} } right) = ψ(z, u, ∇ u) in bounded strictly pseudoconvex domains Ω, subject to the singular boundary condition u = ∞ on ∂Ω. Under suitable conditions on ψ, the existence, uniqueness and the exact asymptotic behavior of solutions to boundary blow-up problems for the complex Monge-Ampère equations are established. |
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| Keywords: | Complex Monge-Ampère equation Boundary blow-up Plurisubharmonic Pseudoconvex Asymptotics |
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