Yamabe-type Equations on Complete, Noncompact Manifolds

• Κύριοι συγγραφείς: Mastrolia, Paolo (Συγγραφέας), Rigoli, Marco (Συγγραφέας), Setti, Alberto G. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Springer Basel : Imprint: Birkhäuser, 2012.
• Σειρά: Progress in Mathematics ; 302
• Θέματα: Mathematics.; Global analysis (Mathematics).; Manifolds (Mathematics).; Differential geometry.; Differential Geometry.; Global Analysis and Analysis on Manifolds.

The aim of this monograph is to present a self-contained introduction to some geometric and analytic aspects of the Yamabe problem. The book also describes a wide range of methods and techniques that can be successfully applied to nonlinear differential equations in particularly challenging situatio...

Πίνακας περιεχομένων:

• Introduction
• 1 Some Riemannian Geometry
• 2 Pointwise conformal metrics
• 3 General nonexistence results
• 4 A priori estimates
• 5 Uniqueness
• 6 Existence
• 7 Some special cases
• References
• Index.