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Book Cover
E-book
Author Struwe, Michael, 1955-

Title Variational methods : applications to nonlinear partial differential equations and Hamiltonian systems / Michael Struwe
Edition 4th ed
Published Berlin : Springer, ©2008

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Description 1 online resource (xx, 302 pages) : illustrations
Series Ergebnisse der Mathematik und ihrer Grenzgebiete = Series of modern surveys in mathematics, 0071-1136 ; 3. Folge, v. 34
Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge, Bd. 34
Contents The direct methods in the calculus of variations -- Minimax methods -- Limit cases of the palais-smale condition
Summary 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 Radó. The book gives a concise introduction to variational methods and presents an overview of areas of current research in the field. The fourth edition gives a survey on new developments in the field. In particular it includes the proof for the convergence of the Yamabe flow and a detailed treatment of the phenomenon of blow-up. Also the recently discovered results for backward bubbling in the heat flow for harmonic maps or surfaces are discussed. Aside from these more significant additions, a number of smaller changes throughout the text have been made and the references have been updated
Analysis wiskunde
mathematics
Mathematics (General)
Wiskunde (algemeen)
Bibliography Includes bibliographical references (pages 277-300) and index
Notes Print version record
Subject Calculus of variations.
Differential equations, Nonlinear.
Hamiltonian systems.
MATHEMATICS -- Calculus.
MATHEMATICS -- Mathematical Analysis.
Hamiltonian systems.
Calculus of variations.
Differential equations, Nonlinear.
Sistemas de Hamilton
Ecuaciones diferenciales no lineales
Cálculo de variaciones
Calculus of variations
Differential equations, Nonlinear
Hamiltonian systems
Variationsrechnung -- Nichtlineare Differentialgleichung.
Nichtlineare Differentialgleichung -- Variationsrechnung.
Variationsrechnung -- Hamiltonsches System.
Hamiltonsches System -- Variationsrechnung.
Form Electronic book
ISBN 9783540740131
3540740139
3540740120
9783540740124
9783540868262
3540868267
9783642093296
3642093299