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On the Omori-Yau Maximum Principle and Its Applications to Differential Equations and Geometry

✍ Scribed by A. Ratto; M. Rigoli; A.G. Setti

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
644 KB
Volume
134
Category
Article
ISSN
0022-1236

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✦ Synopsis

In this paper we prove a generalised version of the Omori-Yau maximum principle and describe some applications to problems in geometry and differential equations. ' 1995 Academic Press. Inc.

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A strong maximum principle for weak solu
A strong maximum principle for weak solutions of quasi-linear elliptic equations with applications to Lorentzian and Riemannian geometry
✍ Lars Andersson; Gregory J. Galloway; Ralph Howard πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 508 KB

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 warp