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Some applications of the maximum principle to a variety of fully nonlinear elliptic PDE’s

✍ Scribed by G. A. Philippin; A. Safoui

Publisher
Springer
Year
2003
Tongue
English
Weight
233 KB
Volume
54
Category
Article
ISSN
0044-2275

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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 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 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