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Maximum principles on Riemannian manifolds and applications

About this Title

Stefano Pigola, Marco Rigoli and Alberto G. Setti

Publication: Memoirs of the American Mathematical Society
Publication Year 2005: Volume 174, Number 822
ISBNs: 978-0-8218-3639-2 (print); 978-1-4704-0423-9 (online)
MathSciNet review: 2116555
MSC: Primary 53C21; Secondary 35B50, 35J60, 58J65

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Table of Contents


  • 1. Preliminaries and some geometric motivations
  • 2. Further typical applications of Yau’s technique
  • 3. Stochastic completeness and the weak maximum principle
  • 4. The weak maximum principle for the $\varphi $-Laplacian
  • 5. $\varphi $-parabolicity and some further remarks
  • 6. Curvature and the maximum principle for the $\varphi $-Laplacian

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