Dirichlet problem for degenerate elliptic complex Monge-Ampere equation

Date

2004-04-06

Authors

Kallel-Jallouli, Saoussen

Journal Title

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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. Electronic Journal of Differential Equations, 2004(48), pp. 1-24.

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Attribution 4.0 International

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