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Memoirs of the American Mathematical Society
2005; 99 pp; softcover
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Order Code: MEMO/174/822
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.
Graduate students and research mathematicians interested in analysis and Riemannian geometry.
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