2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/110237We prove that a relatively compact pseudoconvex domain with smooth boundary in an almost complex manifold admits a bounded strictly plurisubharmonic exhaustion function. We use this result for the study of convexity and hyperbolicity properties of these domains and the contact geometry of their boundaries.Complex Variables32H02; 53C15text