Blocki, Zbigniew Uniqueness and stability for the complex Monge-Ampère equation on compact Kähler manifolds. (English) Zbl 1054.32024 Indiana Univ. Math. J. 52, No. 6, 1697-1701 (2003). We quote the author’s abstract: We prove uniqueness of weak solutions of the Dirichlet problem for the complex Monge-Ampère equation on compact Kähler manifolds. A qualitative version of this result implies the \(L^{2n/(n-1)} - L^{1}\) stability of solutions of this equation. Reviewer: Emil J. Straube (College Station) Cited in 27 Documents MSC: 32W20 Complex Monge-Ampère operators 32U15 General pluripotential theory 53C55 Global differential geometry of Hermitian and Kählerian manifolds 32J27 Compact Kähler manifolds: generalizations, classification Keywords:Monge-Ampère equation; Kähler manifolds; uniqueness PDFBibTeX XMLCite \textit{Z. Blocki}, Indiana Univ. Math. J. 52, No. 6, 1697--1701 (2003; Zbl 1054.32024) Full Text: DOI