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Weak Laplacian Bounds and Minimal Boundaries in Non-smooth Spaces with Ricci Curvature Lower Bounds
 
Andrea Mondino University of Oxford, Oxford, United Kingdom
Daniele Semola University of Oxford, Oxford, United Kingdom
Softcover ISBN:  978-1-4704-7417-1
Product Code:  MEMO/310/1568
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-8186-5
Product Code:  MEMO/310/1568.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7417-1
eBook: ISBN:  978-1-4704-8186-5
Product Code:  MEMO/310/1568.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
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Weak Laplacian Bounds and Minimal Boundaries in Non-smooth Spaces with Ricci Curvature Lower Bounds
Andrea Mondino University of Oxford, Oxford, United Kingdom
Daniele Semola University of Oxford, Oxford, United Kingdom
Softcover ISBN:  978-1-4704-7417-1
Product Code:  MEMO/310/1568
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-8186-5
Product Code:  MEMO/310/1568.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7417-1
eBook ISBN:  978-1-4704-8186-5
Product Code:  MEMO/310/1568.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 3102025; 117 pp
    MSC: Primary 53; 49; 58

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Preliminaries
    • 3. The Laplacian on $RCD(K,N)$ spaces
    • 4. Ricci curvature bounds, Hopf-Lax semigroups and Laplacian bounds
    • 5. Mean curvature bounds for minimal boundaries
    • 6. Regularity theory
    • A. Laplacian bounds vs. mean curvature bounds: A comparison with the classical literature
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 3102025; 117 pp
MSC: Primary 53; 49; 58

View the abstract.

  • Chapters
  • 1. Introduction
  • 2. Preliminaries
  • 3. The Laplacian on $RCD(K,N)$ spaces
  • 4. Ricci curvature bounds, Hopf-Lax semigroups and Laplacian bounds
  • 5. Mean curvature bounds for minimal boundaries
  • 6. Regularity theory
  • A. Laplacian bounds vs. mean curvature bounds: A comparison with the classical literature
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.