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Variational Methods
Michael Struwe
其他書名
Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems
出版Springer Science & Business Media, 2013-04-17
主題Science / System TheoryMathematics / OptimizationMathematics / Mathematical AnalysisLanguage Arts & Disciplines / Library & Information Science / GeneralMathematics / GeneralMathematics / Calculus
ISBN36620321209783662032121
URLhttp://books.google.com.hk/books?id=JF3oCAAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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 Radò. 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.