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

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dc.creatorAndersson, L.
dc.creatorGalloway, G. J.
dc.creatorHoward, R.
dc.date1997-07-22
dc.date.accessioned2026-07-07T09:13:15Z
dc.date.available2026-07-07T09:13:15Z
dc.descriptionThe 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.
dc.description37 pages, 1 figure, ams-latex using eepic
dc.identifierhttps://arxiv.org/abs/dg-ga/9707015
dc.identifierhttp://arxiv.org/abs/dg-ga/9707015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152263
dc.subjectDifferential Geometry
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subject58G03, 35B50 (Primary) 53C21, 83C75 (Secondary)
dc.titleA Strong Maximum Principle for Weak Solutions of Quasi-Linear Elliptic Equations with Applications to Lorentzian and Riemannian Geometry
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