Blow-up Theory for Elliptic PDEs in Riemannian Geometry (MN-45) /

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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Bibliographic Details
Main Author: Druet, Olivier, 1976-
Other Authors: Robert, Frederic, 1974-, Hebey, Emmanuel, 1964-
Format: Electronic eBook
Language:Inglés
Published: Princeton, N.J. : Princeton University Press, 2004.
Series:Book collections on Project MUSE.
Subjects:
Differentiaalvergelijkingen.
Variatierekening.
Riemann-metriek.
Geometry, Riemannian.
Differential equations, Nonlinear.
Calculus of variations.
MATHEMATICS > Mathematical Analysis.
MATHEMATICS > Differential Equations > Partial.
Geometrie de Riemann.
Équations differentielles non lineaires.
Calcul des variations.
Electronic books.
Online Access:Texto completo
Table of Contents:
  • 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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