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January 1, 2005Memoirs of the American Mathematical Society240 citations

Maximum principles on Riemannian manifolds and applications

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SPStefano PigolaUniversity of InsubriaMRMarco RigoliUniversity of InsubriaASAlberto G. SettiUniversity of Insubria

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Abstract

The aim of the paper is to introduce the reader to various forms of the maximum principle, starting from its classical formulation up to generalizations of the Omori-Yau maximum principle at infinity recently obtained by the authors. Applications are given to a number of geometrical problems in the setting of complete Riemannian manifolds, under assumptions either on the curvature or on the volume growth of geodesic balls

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Pigola et al. (2005) studied this question.

synapsesocial.com/papers/6a1d53a728423f2ce504fd65https://doi.org/10.1090/memo/0822
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