TY - JOUR
T1 - A strong maximum principle for weak solutions of quasi-linear elliptic equations with applications to Lorentzian and Riemannian geometry
AU - Andersson, Lars
AU - Galloway, Gregory J.
AU - Howard, Ralph
PY - 1998/6
Y1 - 1998/6
N2 - 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.
AB - 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.
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U2 - 10.1002/(SICI)1097-0312(199806)51:6<581::AID-CPA2>3.0.CO;2-3
DO - 10.1002/(SICI)1097-0312(199806)51:6<581::AID-CPA2>3.0.CO;2-3
M3 - Article
AN - SCOPUS:0032397328
VL - 51
SP - 581
EP - 624
JO - Communications on Pure and Applied Mathematics
JF - Communications on Pure and Applied Mathematics
SN - 0010-3640
IS - 6
ER -