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The Brunn-Minkowski Inequality and a Minkowski Problem for Nonlinear Capacity
 
Murat Akman University of Connecticut, Storrs, CT
Jasun Gong Fordham University, Bronx, NY
Jay Hineman Data Analytics, Durham, NC
John Lewis University of Kentucky, Lexington, KY
Andrew Vogel Syracuse University, Syracuse, NY
The Brunn-Minkowski Inequality and a Minkowski Problem for Nonlinear Capacity
Softcover ISBN:  978-1-4704-5052-6
Product Code:  MEMO/275/1348
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7014-2
Product Code:  MEMO/275/1348.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-5052-6
eBook: ISBN:  978-1-4704-7014-2
Product Code:  MEMO/275/1348.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
The Brunn-Minkowski Inequality and a Minkowski Problem for Nonlinear Capacity
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The Brunn-Minkowski Inequality and a Minkowski Problem for Nonlinear Capacity
Murat Akman University of Connecticut, Storrs, CT
Jasun Gong Fordham University, Bronx, NY
Jay Hineman Data Analytics, Durham, NC
John Lewis University of Kentucky, Lexington, KY
Andrew Vogel Syracuse University, Syracuse, NY
Softcover ISBN:  978-1-4704-5052-6
Product Code:  MEMO/275/1348
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7014-2
Product Code:  MEMO/275/1348.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-5052-6
eBook ISBN:  978-1-4704-7014-2
Product Code:  MEMO/275/1348.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: 2752022; 115 pp
    MSC: Primary 35; 31; 39; 52

    View the abstract.

  • Table of Contents
     
     
    • 1. The Brunn-Minkowski inequality for nonlinear capacity
    • 1. Introduction
    • 2. Notation and statement of results
    • 3. Basic estimates for $\mathcal {A}$-harmonic functions
    • 4. Preliminary reductions for the proof of Theorem
    • 5. Proof of Theorem
    • 6. Final proof of Theorem
    • 7. Appendix
    • 2. A Minkowski problem for nonlinear capacity
    • 8. Introduction and statement of results
    • 9. Boundary behavior of $\mathcal {A}$-harmonic functions in Lipschitz domains
    • 10. Boundary Harnack inequalities
    • 11. Weak convergence of certain measures on $ \mathbb {S}^{n-1}$
    • 12. The Hadamard variational formula for nonlinear capacity
    • 13. Proof of Theorem
  • 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: 2752022; 115 pp
MSC: Primary 35; 31; 39; 52

View the abstract.

  • 1. The Brunn-Minkowski inequality for nonlinear capacity
  • 1. Introduction
  • 2. Notation and statement of results
  • 3. Basic estimates for $\mathcal {A}$-harmonic functions
  • 4. Preliminary reductions for the proof of Theorem
  • 5. Proof of Theorem
  • 6. Final proof of Theorem
  • 7. Appendix
  • 2. A Minkowski problem for nonlinear capacity
  • 8. Introduction and statement of results
  • 9. Boundary behavior of $\mathcal {A}$-harmonic functions in Lipschitz domains
  • 10. Boundary Harnack inequalities
  • 11. Weak convergence of certain measures on $ \mathbb {S}^{n-1}$
  • 12. The Hadamard variational formula for nonlinear capacity
  • 13. Proof of Theorem
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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