2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/174364Consider a strictly convex bounded regular domain $C$ of $\R^3$. For any arbitrary finite topological type we find a compact Riemann surface $\mathcal{M}$, an open domain $M\subset \mathcal{M}$ with the fixed topological type, and a conformal complete proper minimal immersion $X:M\to C$ which can be extended to a continuous map $X:\overline{M}\to \overline{C}$.12 pages, 1 figureDifferential Geometry53A10; 53C42; 49Q10; 49Q05text