In this paper, we present a version of the Omori–Yau maximum principle, a Liouville-type result, and a Phragmen–Lindelöff-type theorem for a class of singular elliptic operators on a Riemannian manifold, which include the p-Laplacian and the mean curvature operator. Some applications of the results obtained are discussed.
Maximum principles and singular elliptic inequalities / S. Pigola, M. Rigoli, A. Setti. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - 193:2(2002), pp. 224-260.
Maximum principles and singular elliptic inequalities
M. RigoliSecondo
;
2002
Abstract
In this paper, we present a version of the Omori–Yau maximum principle, a Liouville-type result, and a Phragmen–Lindelöff-type theorem for a class of singular elliptic operators on a Riemannian manifold, which include the p-Laplacian and the mean curvature operator. Some applications of the results obtained are discussed.
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