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＜電子ブック＞
Variational Methods : Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems / by Michael Struwe
(Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics. ISSN:21975655 ; 34)

版	2nd ed. 1996.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1996
本文言語	英語
大きさ	XVI, 272 p. 8 illus : online resource
著者標目	*Struwe, Michael author SpringerLink (Online service)
件　名	LCSH:System theory LCSH:Control theory LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Mathematical analysis FREE:Systems Theory, Control FREE:Calculus of Variations and Optimization FREE:Analysis
一般注記	I. The Direct Methods in the Calculus of Variations -- II. Minimax Methods -- III. Limit Cases of the Palais-Smale Condition -- Appendix A -- Sobolev Spaces -- Hölder Spaces -- Imbedding Theorems -- Density Theorem -- Trace and Extension Theorems -- Poincaré Inequality -- Appendix B -- Schauder Estimates -- Weak Solutions -- A Regularity Result -- Maximum Principle -- Weak Maximum Principle -- Application -- Appendix C -- Fréchet Differentiability -- Natural Growth Conditions -- References 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 HTTP:URL=https://doi.org/10.1007/978-3-662-03212-1

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