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Multiplicity and Stability of the Pohozaev Obstruction for Hardy-Schrödinger Equations with Boundary Singularity

Softcover ISBN: | 978-1-4704-6119-5 |
Product Code: | MEMO/285/1415 |
List Price: | $85.00 |
MAA Member Price: | $76.50 |
AMS Member Price: | $68.00 |
eBook ISBN: | 978-1-4704-7485-0 |
Product Code: | MEMO/285/1415.E |
List Price: | $85.00 |
MAA Member Price: | $76.50 |
AMS Member Price: | $68.00 |
Softcover ISBN: | 978-1-4704-6119-5 |
eBook: ISBN: | 978-1-4704-7485-0 |
Product Code: | MEMO/285/1415.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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Multiplicity and Stability of the Pohozaev Obstruction for Hardy-Schrödinger Equations with Boundary Singularity
Softcover ISBN: | 978-1-4704-6119-5 |
Product Code: | MEMO/285/1415 |
List Price: | $85.00 |
MAA Member Price: | $76.50 |
AMS Member Price: | $68.00 |
eBook ISBN: | 978-1-4704-7485-0 |
Product Code: | MEMO/285/1415.E |
List Price: | $85.00 |
MAA Member Price: | $76.50 |
AMS Member Price: | $68.00 |
Softcover ISBN: | 978-1-4704-6119-5 |
eBook ISBN: | 978-1-4704-7485-0 |
Product Code: | MEMO/285/1415.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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Book DetailsMemoirs of the American Mathematical SocietyVolume: 285; 2023; 126 ppMSC: Primary 35
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Table of Contents
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Chapters
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1. Introduction
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2. Setting up the blow-up
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3. Scaling Lemmas
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4. Construction and exhaustion of the blow-up scales
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5. Strong pointwise estimates
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6. Sharp blow-up rates and the proof of Compactness
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7. Estimates on the localized Pohozaev identity
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8. Estimates of the $L^{2^\star (s)}$ and $L^2-$terms in the localized Pohozaev identity
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9. Estimate of the curvature term in the Pohozaev identity when $\beta _+(\gamma )-\beta _-(\gamma )>1$
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10. Proof of the sharp blow-up rates
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11. Proof of multiplicity
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A. The Pohozaev identity
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B. A continuity property of the first eigenvalue of Schrödinger operators
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C. Regularity and the Hardy-Schrödinger operator on $\mathbb {R}^{n}_{-}$
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D. Green’s function for the Hardy-Schrödinger operator with boundary singularity on a bounded domain
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E. Green’s function for the Hardy-Schrödinger operator on $\mathbb {R}_{-}^n$
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
Volume: 285; 2023; 126 pp
MSC: Primary 35
-
Chapters
-
1. Introduction
-
2. Setting up the blow-up
-
3. Scaling Lemmas
-
4. Construction and exhaustion of the blow-up scales
-
5. Strong pointwise estimates
-
6. Sharp blow-up rates and the proof of Compactness
-
7. Estimates on the localized Pohozaev identity
-
8. Estimates of the $L^{2^\star (s)}$ and $L^2-$terms in the localized Pohozaev identity
-
9. Estimate of the curvature term in the Pohozaev identity when $\beta _+(\gamma )-\beta _-(\gamma )>1$
-
10. Proof of the sharp blow-up rates
-
11. Proof of multiplicity
-
A. The Pohozaev identity
-
B. A continuity property of the first eigenvalue of Schrödinger operators
-
C. Regularity and the Hardy-Schrödinger operator on $\mathbb {R}^{n}_{-}$
-
D. Green’s function for the Hardy-Schrödinger operator with boundary singularity on a bounded domain
-
E. Green’s function for the Hardy-Schrödinger operator on $\mathbb {R}_{-}^n$
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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