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A Picone identity for half-linear elliptic equations and its applications to oscillation theory

✍ Scribed by Norio Yoshida


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
904 KB
Volume
71
Category
Article
ISSN
0362-546X

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A strong maximum principle for weak solu
✍ 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