A Neumann Type Maximum Principle for the Laplace Operator on Compact Riemannian Manifolds

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dc.creatorWei, Guofang
dc.creatorYe, Rugang
dc.date2007-03-16
dc.date2007-11-11
dc.date.accessioned2026-07-07T08:41:43Z
dc.date.available2026-07-07T08:41:43Z
dc.descriptionIn this paper we present a proof of a Neumann type maximum principle for the Laplace operator on compact Riemannian manifolds. A key p oint is the simple geometric nature of the constant in the a priori estimate of this maximum principle. In particular, this maximum principle can be applied to manifolds with Ricci curvature bounded from below and diameter bounded from above to yield a maximum estimate without dependence on a positive lower bound for the volume.
dc.descriptionIn Theorem A, the previous maximum estimate in terms of the isoperimetric constant is replaced by a maximum estimate in terms of the volume-normalized isoperimetric constant. The statements of Gallot's estimate for the isoperimetric constant are corrected
dc.identifierhttps://arxiv.org/abs/math/0703505
dc.identifierhttp://arxiv.org/abs/math/0703505
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141764
dc.subjectDifferential Geometry
dc.subject53CXX
dc.titleA Neumann Type Maximum Principle for the Laplace Operator on Compact Riemannian Manifolds
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