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July, 2005 Some Remarks on the Weak Maximum Principle
Marco Rigoli, Maura Salvatori, Marco Vignati
Rev. Mat. Iberoamericana 21(2): 459-481 (July, 2005).

Abstract

We obtain a maximum principle at infinity for solutions of a class of nonlinear singular elliptic differential inequalities on Riemannian manifolds under the sole geometrical assumptions of volume growth conditions. In the case of the Laplace-Beltrami operator we relate our results to stochastic completeness and parabolicity of the manifold.

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Marco Rigoli. Maura Salvatori. Marco Vignati. "Some Remarks on the Weak Maximum Principle." Rev. Mat. Iberoamericana 21 (2) 459 - 481, July, 2005.

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Published: July, 2005
First available in Project Euclid: 11 August 2005

zbMATH: 1110.58022
MathSciNet: MR2174913

Subjects:
Primary: 53C21 , 58J05

Keywords: maximum principles , volume growth

Rights: Copyright © 2005 Departamento de Matemáticas, Universidad Autónoma de Madrid

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Vol.21 • No. 2 • July, 2005
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