Some Nonlinear Problems in Riemannian Geometry

Thierry Aubin

ISBN 10: 364208236X / ISBN 13: 9783642082368

Editore: Springer Berlin Heidelberg, Springer Berlin Heidelberg Dez 2010, 2010

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Neuware -During the last few years, the field of nonlinear problems has undergone great development. This book consisting of the updated Grundlehren volume 252 by the author and of a newly written part, deals with some important geometric problems that are of interest to many mathematicians and scientists but have only recently been partially solved. Each problem is explained, up-to-date results are given and proofs are presented. Thus, the reader is given access, for each specific problem, to its present status of solution as well as to the most up-to-date methods for approaching it. The main objective of the book is to explain some methods and new techniques, and to apply them. It deals with such important subjects as variational methods, the continuity method, parabolic equations on fiber.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 416 pp. Englisch.

Codice articolo 9783642082368

Dati bibliografici

• Titolo: Some Nonlinear Problems in Riemannian Geometry
• Editore: Springer Berlin Heidelberg, Springer Berlin Heidelberg Dez 2010
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 364208236X
• ISBN 13: 9783642082368
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 235 L x 155 A x 23 P (millimetri) 235 millimetri di larghezza per 155 millimetri di altezza per 23 millimetri di profondità
• Peso: 628 grammi

Descrizione articolo

Riassunto

A very interesting area of nonlinear partial differential equations lies in the study of special equations arising in Geometry and Physics. This book deals with such important subjects as variational methods, the continuity method, parabolic equations on fiber bundles, ideas concerning points of concentration, blowing-up technique, geometric and topological methods.

Dalla quarta di copertina

During the last few years, the field of nonlinear problems has undergone great development.This book, the core of which is the content of the author's earlier book (Springer-Verlag 1983), updated and extended in each chapter, and augmented by several completely new chapters, deals with some important geometric problems that have only recently been solved or partially been solved. Each problem is explained with the present status of its solution and the most recent methods of approaching the proofs. The main aim is to explain some methods and new techniques, and to apply them to problems coming from geometry or from physics. It deals with such important subjects as variational methods, the continuity method, parabolic equations on fiber bundles, ideas concerning points of concentration, blowing-up technique, topological methods. ..........