2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66649We consider strictly convex hypersurfaces which are evolving by the non-parametric logarithmic Gauss curvature flow subject to a Neumann boundary condition. Solutions are shown to converge smoothly to hypersurfaces moving by translation. In particular, for bounded domains we prove that convex functions with prescribed normal derivative satisfy a uniform oscillation estimate.22 pages, 6 figures; submitted to Pacific J. MathAnalysis of PDEsDifferential Geometry53C44 (Primary) 35K20, 53C42 (Secondary)text