Maximum Principles on Riemannian Manifolds and Applications

· ·
· American Mathematical Soc.
Ebook
99
Pages
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About this ebook

The aim of this 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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