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Local Boundedness, Maximum Principles, and Continuity of Solutions to Infinitely Degenerate Elliptic Equations with Rough Coefficients
 
Lyudmila Korobenko Reed College, Portland, Oregon
Cristian Rios University of Calgary, Calgary, Alberta, Canada
Eric Sawyer McMaster University, Hamilton, Ontario, Canada
Ruipeng Shen Tianjin University, Tianjin, People’s Republic of China
Local Boundedness, Maximum Principles, and Continuity of Solutions to Infinitely Degenerate Elliptic Equations with Rough Coefficients
Softcover ISBN:  978-1-4704-4401-3
Product Code:  MEMO/269/1311
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-6460-8
Product Code:  MEMO/269/1311.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-4401-3
eBook: ISBN:  978-1-4704-6460-8
Product Code:  MEMO/269/1311.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Local Boundedness, Maximum Principles, and Continuity of Solutions to Infinitely Degenerate Elliptic Equations with Rough Coefficients
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Local Boundedness, Maximum Principles, and Continuity of Solutions to Infinitely Degenerate Elliptic Equations with Rough Coefficients
Lyudmila Korobenko Reed College, Portland, Oregon
Cristian Rios University of Calgary, Calgary, Alberta, Canada
Eric Sawyer McMaster University, Hamilton, Ontario, Canada
Ruipeng Shen Tianjin University, Tianjin, People’s Republic of China
Softcover ISBN:  978-1-4704-4401-3
Product Code:  MEMO/269/1311
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-6460-8
Product Code:  MEMO/269/1311.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-4401-3
eBook ISBN:  978-1-4704-6460-8
Product Code:  MEMO/269/1311.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: 2692021; 130 pp
    MSC: Primary 35; Secondary 51; 46

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • Preface
    • 1. Overview
    • 1. Introduction
    • 2. DeGiorgi Iteration, Local Boundedness, Maximum Principle and Continuity
    • 3. Organization of the Proofs
    • 2. Abstract theory
    • 4. Local Boundedness
    • 5. Maximum Principle
    • 6. Continuity
    • 3. Geometric theory
    • 7. Infinitely Degenerate Geometries
    • 8. Orlicz Norm Sobolev Inequalities
    • 9. Geometric Theorems
    • A. Appendix
    • A. A Quasilinear Hypoellipticity Theorem
    • B. A Monge-Ampère Example
    • C. Absence of Radial Solutions
  • Additional Material
     
     
  • 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: 2692021; 130 pp
MSC: Primary 35; Secondary 51; 46

View the abstract.

  • Chapters
  • Preface
  • 1. Overview
  • 1. Introduction
  • 2. DeGiorgi Iteration, Local Boundedness, Maximum Principle and Continuity
  • 3. Organization of the Proofs
  • 2. Abstract theory
  • 4. Local Boundedness
  • 5. Maximum Principle
  • 6. Continuity
  • 3. Geometric theory
  • 7. Infinitely Degenerate Geometries
  • 8. Orlicz Norm Sobolev Inequalities
  • 9. Geometric Theorems
  • A. Appendix
  • A. A Quasilinear Hypoellipticity Theorem
  • B. A Monge-Ampère Example
  • C. Absence of Radial Solutions
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
Please select which format for which you are requesting permissions.