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Maximum Principles on Riemannian Manifolds and Applications
 
Stefano Pigola University of Milan, Milan, Italy
Marco Rigoli University of Milan, Milan, Italy
Alberto G. Setti Università dell’Insubria, Como, Italy
Maximum Principles on Riemannian Manifolds and Applications
eBook ISBN:  978-1-4704-0423-9
Product Code:  MEMO/174/822.E
List Price: $67.00
MAA Member Price: $60.30
AMS Member Price: $40.20
Maximum Principles on Riemannian Manifolds and Applications
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Maximum Principles on Riemannian Manifolds and Applications
Stefano Pigola University of Milan, Milan, Italy
Marco Rigoli University of Milan, Milan, Italy
Alberto G. Setti Università dell’Insubria, Como, Italy
eBook ISBN:  978-1-4704-0423-9
Product Code:  MEMO/174/822.E
List Price: $67.00
MAA Member Price: $60.30
AMS Member Price: $40.20
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1742005; 99 pp
    MSC: Primary 58;

    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.

    Readership

    Graduate students and research mathematicians interested in analysis and Riemannian geometry.

  • Table of Contents
     
     
    • Chapters
    • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1742005; 99 pp
MSC: Primary 58;

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.

Readership

Graduate students and research mathematicians interested in analysis and Riemannian geometry.

  • Chapters
  • 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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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