A Strong Maximum Principle for Weak Solutions of Quasi-Linear Elliptic Equations with Applications to Lorentzian and Riemannian Geometry

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152263The strong maximum principle is proved to hold for weak (in the sense of support functions) sub- and super-solutions to a class of quasi-linear elliptic equations that includes the mean curvature equation for $C^0$ spacelike hypersurfaces in a Lorentzian manifold. As one application a Lorentzian warped product splitting theorem is given.37 pages, 1 figure, ams-latex using eepicDifferential GeometryGeneral Relativity and Quantum Cosmology58G03, 35B50 (Primary) 53C21, 83C75 (Secondary)A Strong Maximum Principle for Weak Solutions of Quasi-Linear Elliptic Equations with Applications to Lorentzian and Riemannian Geometrytext