Kallel-Jallouli, Saoussen2021-04-142021-04-142004-04-06Kallel-Jallouli, S. (2004). Dirichlet problem for degenerate elliptic complex Monge-Ampere equation. <i>Electronic Journal of Differential Equations, 2004</i>(48), pp. 1-24.1072-6691https://hdl.handle.net/10877/13385We 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.Text24 pages1 file (.pdf)enAttribution 4.0 InternationalDegenerate ellipticOmplex Monge-AmperePlurisubharmonic functionArticle