Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems (Ergebnisse der Mathematik und ihrer . / A Series of Modern Surveys in Mathematics)

Struwe, Michael

ISBN 10: 3540664793 / ISBN 13: 9783540664796

Editore: Springer, 2000

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Codice articolo ERICA75835406647935

Dati bibliografici

• Titolo: Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems (Ergebnisse der Mathematik und ihrer . / A Series of Modern Surveys in Mathematics)
• Editore: Springer
• Data di pubblicazione: 2000
• Lingua: Inglese
• ISBN 10: 3540664793
• ISBN 13: 9783540664796
• Rilegatura: Hardcover
• Edizione: terza edizione
• Condizione: Like New
• Tipo di libro: book

Descrizione articolo

Riassunto

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 Rado. The book gives a concise introduction to variational methods and presents an overview of areas of current research in the field. The third edition gives a survey on new developments in the field. References have been updated and a small number of mistakes have been rectified.

Recensione

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)