✦ LIBER ✦

A strong maximum principle for weak solutions of quasi-linear elliptic equations with applications to Lorentzian and Riemannian geometry

✍ Scribed by Lars Andersson; Gregory J. Galloway; Ralph Howard

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 508 KB
Volume: 51
Category: Article
ISSN: 0010-3640
DOI: 10.1002/(sici)1097-0312(199806)51:6<581::aid-cpa2>3.0.co;2-3

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✦ Synopsis

The strong maximum principle is proved to hold for weak (in the sense of support functions) sub-and supersolutions to a class of quasi-linear elliptic equations that includes the mean curvature equation for C 0 -space-like hypersurfaces in a Lorentzian manifold. As one application, a Lorentzian warped product splitting theorem is given.