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| Large Solutions to Complex Monge-Amp`ere Equations:Existence, Uniqueness and Asymptotics |
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Citation： |
Ni XIANG,Xiaoping YANG.Large Solutions to Complex Monge-Amp`ere Equations:Existence, Uniqueness and Asymptotics[J].Chinese Annals of Mathematics B,2011,32(4):569~580 |
| Page view： 1756
Net amount： 2542 |
Authors： |
Ni XIANG; Xiaoping YANG; |
Foundation： |
the Tianyuan Foundation of Mathematics (No. 10926164). |
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| Abstract： |
The authors consider the complex Monge-Amp\`ere equation
$\det(u_{i\ov j})=\psi(z,u,$ $\nabla u)$ in bounded strictly
pseudoconvex domains $\Omega$, subject to the singular boundary
condition $u=\infty$ on $\partial\Omega$. Under suitable conditions
on $\psi$, the existence, uniqueness and the exact asymptotic
behavior of solutions to boundary blow-up problems for the complex
Monge-Amp\`ere equations are established. |
Keywords： |
Complex Monge-Amp`ere equation, Boundary blow-up, Plurisubharmonic,
Pseudoconvex, Asymptotics |
Classification： |
32A05, 35J60 |
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