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Propagation of maxima and strong maximum principle for viscosity solutions of degenerate elliptic equations. I: Convex operators

✍ Scribed by Martino Bardi; Francesca Da Lio


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
140 KB
Volume
44
Category
Article
ISSN
0362-546X

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✦ Synopsis


This research was partially supported by M.U.R.S.T., projects "Problemi nonlineari nell'analisi e nelle applicazioni ΓΏsiche, chimiche e biologiche" and "Analisi e controllo di equazioni di evoluzione deterministiche e stocastiche", and by the European Community, TMR Network "Viscosity solutions and their applications".


πŸ“œ SIMILAR VOLUMES


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