Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems: v. 34 (Series of Modern Surveys in Mathematics) - Hardcover

Struwe, Michael

Hardcover

ISBN 10: 3540588590 ISBN 13: 9783540588597

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1996

Synopsis

Hilbert's talk at the second International Congress of 1900 in Paris marked the beginning of a new era in the calculus of variations. A development began which, within a few decades, brought tremendous success, highlighted by the 1929 theorem of Ljusternik and Schnirelman on the existence of three distinct prime closed geodesics on any compact surface of genus zero, and the 1930/31 solution of Plateau's problem by Douglas and Rad . The book gives a concise introduction to variational methods and presents an overview of areas of current research in this field. This new edition has been substantially enlarged, a new chapter on the Yamabe problem has been added and the references have been updated. All topics are illustrated by carefully chosen examples, representing the current state of the art in their field.

About this title

Review

From the reviews of the fourth edition: "The fourth edition of Michael Struwe 's book Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems was published in 2008, 18 years after the first edition. The bibliography alone would make it a valuable reference as it contains nearly 500 references. Struwe 's book is addressed to researchers in differential geometry and partial differential equations." (John D. Cook, MAA Online, January, 2009)

Edition details

• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Publication date: 1996
• Language: English
• ISBN 10: 3540588590
• ISBN 13: 9783540588597
• Binding: Hardcover
• Edition number: 2
• Number of pages: 288