Dirichlet problem for degenerate elliptic complex Monge-Ampere equation

We consider the Dirichlet problem $$ det ig({frac{partial^2u}{partial z_ipartial overline{z_j}}} ig)=g(z,u)quadmbox{in }Omega,, quad uig|_{ partial Omega }=varphi,, $$ where $Omega$ is a bounded open set of $mathbb{C}^{n}$ with regular boundary, $g$ and $varphi$ are sufficiently smooth functions, an...

Full description

Bibliographic Details
Main Author: Saoussen Kallel-Jallouli
Format: Article
Language:English
Published: Texas State University 2004-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2004/48/abstr.html