2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/159315We prove uniqueness for the Dirichlet problem for the complex Monge-Ampère equation on compact Kähler manifolds in the case of measures vanishing on pluripolar sets. As a by-product we generalize Xing's stability theorem.12 pagesComplex Variables32U05; 53C55; 32U40Uniqueness and Stability in $\mathcal E(X,ω)$text