Blow-up theory for elliptic PDEs in Riemannian geometry /
Elliptic equations of critical Sobolev growth have been the target of investigation for decades because they have proved to be of great importance in analysis, geometry, and physics. The equations studied here are of the well-known Yamabe type. They involve Schrodinger operators on the left hand sid...
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| Other Authors: | , |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton, N.J. :
Princeton University Press,
©2004.
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| Series: | Mathematical notes (Princeton University Press)
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| Subjects: | |
| Online Access: | CONNECT CONNECT |
MARC
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| 100 | 1 | |a Druet, Olivier, |d 1976- |1 https://id.oclc.org/worldcat/entity/E39PBJg4jYfCFMXxR6WW8CV6Kd | |
| 245 | 1 | 0 | |a Blow-up theory for elliptic PDEs in Riemannian geometry / |c Olivier Druet, Emmanuel Hebey, Frédéric Robert. |
| 260 | |a Princeton, N.J. : |b Princeton University Press, |c ©2004. | ||
| 300 | |a 1 online resource (viii, 218 pages) | ||
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| 490 | 1 | |a Mathematical notes | |
| 504 | |a Includes bibliographical references (pages 213-218). | ||
| 520 | |a Elliptic equations of critical Sobolev growth have been the target of investigation for decades because they have proved to be of great importance in analysis, geometry, and physics. The equations studied here are of the well-known Yamabe type. They involve Schrodinger operators on the left hand side and a critical nonlinearity on the right hand side. A significant development in the study of such equations occurred in the 1980s. It was discovered that the sequence splits into a solution of the limit equation--a finite sum of bubbles--and a rest that converges strongly to zero in the Sobolev s. | ||
| 588 | 0 | |a Print version record. | |
| 546 | |a In English. | ||
| 505 | 0 | |a Preface; Chapter 1. Background Material; Chapter 2. The Model Equations; Chapter 3. Blow-up Theory in Sobolev Spaces; Chapter 4. Exhaustion and Weak Pointwise Estimates; Chapter 5. Asymptotics When the Energy Is of Minimal Type; Chapter 6. Asymptotics When the Energy Is Arbitrary; Appendix A. The Green's Function on Compact Manifolds; Appendix B. Coercivity Is a Necessary Condition; Bibliography | |
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| 500 | |a Books at JSTOR Evidence Based Acquisitions |5 TMurS | ||
| 650 | 0 | |a Calculus of variations. | |
| 650 | 0 | |a Differential equations, Nonlinear. | |
| 650 | 0 | |a Geometry, Riemannian. | |
| 700 | 1 | |a Hebey, Emmanuel, |d 1964- |1 https://id.oclc.org/worldcat/entity/E39PCjCfpcvgRKMBwvd7cgj3Hy | |
| 700 | 1 | |a Robert, Frédéric, |d 1974- |1 https://id.oclc.org/worldcat/entity/E39PCjrtrDYph43KPjqBrjjCFC | |
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