2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/213495In this paper, complex Hessian equation over Kähler manifold was studied. Under the condition that the underline Kähler manifold has non-negative holomorphic bisectional curvature, the existence and regularity of the solution was proved.12 pagesDifferential GeometryAnalysis of PDEs35J60; 58J05;Complex Hessian Equation on Kähler Manifoldtext