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On the Size of the Singular Set of Minimizing Harmonic Maps
 
Katarzyna Mazowiecka University of Warsaw, Warszawa, Poland
Michał Miśkiewicz Polish Academy of Sciences, Warszawa, Poland and University of Warsaw, Warszawa, Poland
Armin Schikorra University of Pittsburgh, Pittsburgh, Pennsylvania
Softcover ISBN:  978-1-4704-7162-0
Product Code:  MEMO/302/1519
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Not yet published - Preorder Now!
Expected availability date: November 20, 2024
eBook ISBN:  978-1-4704-7970-1
Product Code:  MEMO/302/1519.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7162-0
eBook: ISBN:  978-1-4704-7970-1
Product Code:  MEMO/302/1519.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Not yet published - Preorder Now!
Expected availability date: November 20, 2024
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On the Size of the Singular Set of Minimizing Harmonic Maps
Katarzyna Mazowiecka University of Warsaw, Warszawa, Poland
Michał Miśkiewicz Polish Academy of Sciences, Warszawa, Poland and University of Warsaw, Warszawa, Poland
Armin Schikorra University of Pittsburgh, Pittsburgh, Pennsylvania
Softcover ISBN:  978-1-4704-7162-0
Product Code:  MEMO/302/1519
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Not yet published - Preorder Now!
Expected availability date: November 20, 2024
eBook ISBN:  978-1-4704-7970-1
Product Code:  MEMO/302/1519.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7162-0
eBook ISBN:  978-1-4704-7970-1
Product Code:  MEMO/302/1519.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Not yet published - Preorder Now!
Expected availability date: November 20, 2024
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 3022024; 82 pp
    MSC: Primary 58; 35

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Partial regularity in the interior
    • 3. Monotonicity formula and tangent maps at the boundary
    • 4. Refined estimates by Naber and Valtorta
    • 5. Extension property and its consequences
    • 6. Strong convergence for minimizers and its consequences
    • 7. Boundary regularity for smooth and singular boundary data in $W^{1,n-1}$
    • 8. Hardt and Lin’s stability of singularities for $n \geq 3$
    • 9. Almgren and Lieb’s linear law: Size of the singular set
    • 10. Final remarks
    • A. Trace theorems
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 3022024; 82 pp
MSC: Primary 58; 35

View the abstract.

  • Chapters
  • 1. Introduction
  • 2. Partial regularity in the interior
  • 3. Monotonicity formula and tangent maps at the boundary
  • 4. Refined estimates by Naber and Valtorta
  • 5. Extension property and its consequences
  • 6. Strong convergence for minimizers and its consequences
  • 7. Boundary regularity for smooth and singular boundary data in $W^{1,n-1}$
  • 8. Hardt and Lin’s stability of singularities for $n \geq 3$
  • 9. Almgren and Lieb’s linear law: Size of the singular set
  • 10. Final remarks
  • A. Trace theorems
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.