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

DOI<581::AID-CPA2>3.0.CO;2-3 10.1002/(SICI)1097-0312(199806)51:6<581::AID-CPA2>3.0.CO;2-3zbMath0935.35020arXivdg-ga/9707015OpenAlexW2076431712MaRDI QIDQ4257022

Lars Andersson, Gregory J. Galloway, Ralph Howard

Publication date: 3 August 1999

Full work available at URL: https://arxiv.org/abs/dg-ga/9707015

zbMATH Keywords

maximum principle mean curvature sub- and supersolutions Lorentzian/Riemannian geometry

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60)

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Notes on a paper of Mess ⋮ The Hawking-Penrose singularity theorem for \(C^{1,1}\)-Lorentzian metrics ⋮ Hausdorff closed limits and rigidity in Lorentzian geometry ⋮ On class A Lorentzian 2-tori with poles. II. Foliations by timelike lines ⋮ Achronal limits, Lorentzian spheres, and splitting ⋮ Global viscosity solutions for eikonal equations on class A Lorentzian 2-tori ⋮ Comparison results for the volume of geodesic celestial spheres in Lorentzian manifolds ⋮ A world without pythons would be so simple

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