Dirichlet problem for degenerate elliptic complex Monge-Ampere equation
Date
2004-04-06
Authors
Kallel-Jallouli, Saoussen
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We consider the Dirichlet problem
det (∂2u/ ∂zi∂zj) = g(z, u) in Ω, u|∂Ω = φ,
where Ω is a bounded open set of ℂn with regular boundary, g and φ are sufficiently smooth functions, and g is non-negative. We prove that, under additional hypotheses on g and φ, if | detφij - g|Cs* is sufficiently small the problem has a plurisubharmonic solution.
Description
Keywords
Degenerate elliptic, Omplex Monge-Ampere, Plurisubharmonic function
Citation
Kallel-Jallouli, S. (2004). Dirichlet problem for degenerate elliptic complex Monge-Ampere equation. <i>Electronic Journal of Differential Equations, 2004</i>(48), pp. 1-24.
Rights
Attribution 4.0 International