Blow-up theory for elliptic PDEs in Riemannian geometry /

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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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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Druet, Olivier, 1976-
Autres auteurs: Hebey, Emmanuel, 1964-, Robert, Frédéric, 1974-
Format: Électronique eBook
Langue:Inglés
Publié: Princeton, N.J. : Princeton University Press, ©2004.
Collection:Mathematical notes (Princeton University Press)
Sujets:
Calculus of variations.
Differential equations, Nonlinear.
Geometry, Riemannian.
Calcul des variations.
Équations différentielles non linéaires.
Géométrie de Riemann.
MATHEMATICS > Differential Equations > Partial.
MATHEMATICS > Mathematical Analysis.
Calculus of variations
Differential equations, Nonlinear
Geometry, Riemannian
Riemann-metriek.
Variatierekening.
Differentiaalvergelijkingen.
Accès en ligne:Texto completo
Table des matières:
  • 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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