LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	516.36
Title	Yamabe-type Equations on Complete, Noncompact Manifolds (EB) / by Paolo Mastrolia, Marco Rigoli, Alberto G Setti.
Author	Mastrolia, Paolo
Added Personal Name	Rigoli, Marco
Added Personal Name	Setti, Alberto G.
Other name(s)	SpringerLink (Online service)
Publication	Basel : Birkhäuser
Publication	, 2012.
Physical Details	VII, 256 pages : online resource.
Series	Progress in mathematics ; 302
ISBN	9783034803762
Summary Note	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 situations. Such situations occur where the lack of compactness, symmetry and homogeneity prevents the use of more standard tools typically used in compact situations or for the Euclidean setting. The work is written in an easy style that makes it accessible even to non-specialists. After a self-contained treatment of the geometric tools used in the book, readers are introduced to the main subject by means of a concise but clear study of some aspects of the Yamabe problem on compact manifolds. This study provides the motivation and geometrical feeling for the subsequent part of the work. In the main body of the book, it is shown how the geometry and the analysis of nonlinear partial differential equations blend together to give up-to-date results on existence, nonexistence, uniqueness and a priori estimates for solutions of general Yamabe-type equations and inequalities on complete, non-compact Riemannian manifolds.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-0348-0376-2
Links to Related Works	Subject References: Differential Geometry . Global analysis . Global Analysis and Analysis on Manifolds . Global differential geometry . Mathematics . Authors: author . Mastrolia, Paolo . Rigoli, Marco . Setti, Alberto G. . Corporate Authors: SpringerLink (Online service) . Series: Progress in mathematics . Classification: 516.36 . 516.36 (DDC 23) .

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Yamabe-type Equations on Complete, Noncompact Manifolds

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