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 C0-space-like hypersurfaces in a Lorentzian manifold. As one application, a Lorentzian warped product splitting theorem is given.
|Original language||English (US)|
|Number of pages||44|
|Journal||Communications on Pure and Applied Mathematics|
|State||Published - Jun 1998|
ASJC Scopus subject areas
- Applied Mathematics