Yamabe-type Equations on Complete, Noncompact Manifolds

• Main Authors: Mastrolia, Paolo (Author), Rigoli, Marco (Author), Setti, Alberto G. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel : Imprint: Birkhäuser, 2012.
• Series: Progress in Mathematics ; 302
• Subjects: 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...

Table of Contents:

• 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.