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Titlebook: Variational Methods; Applications to Nonl Michael Struwe Book 2008Latest edition Springer-Verlag Berlin Heidelberg 2008 Calculus of Variati

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书目名称Variational Methods
副标题Applications to Nonl
编辑Michael Struwe
视频video
概述Gives a concise introduction to the field of Variational Methods and presents an overview of areas of current research in this field.It is a valuable source of reference for advanced students and rese
丛书名称Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathemati
图书封面Titlebook: Variational Methods; Applications to Nonl Michael Struwe Book 2008Latest edition Springer-Verlag Berlin Heidelberg 2008 Calculus of Variati
描述.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..
出版日期Book 2008Latest edition
关键词Calculus of Variations; Hamiltonian Systems; Mathematical Physics; Partial Differential Equations; Plate
版次4
doihttps://doi.org/10.1007/978-3-540-74013-1
isbn_softcover978-3-642-09329-6
isbn_ebook978-3-540-74013-1Series ISSN 0071-1136 Series E-ISSN 2197-5655
issn_series 0071-1136
copyrightSpringer-Verlag Berlin Heidelberg 2008
The information of publication is updating

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Limit Cases of the Palais-Smale Condition, inspite of its success in dealing with one-dimensional variational problems like geodesics (see Birkhoff’s Theorem I.4.4, for example, or Palais’ [3] work on closed geodesics), the Palais-Smale condition could never play a role in the solution of “interesting” variational problems in higher dimensi
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Minimax Methods,ical point is defined and it makes sense to classify such points as relative minima or saddle points as we did in the introduction to Chapter I..Moreover, we will impose a certain compactness assumption on ., to be stated in Section 2. First, however, we recall a classical result in finite dimensions.
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rden. Eine Steigerung der landwirtschaftlichen Produktion wird sich wohl kaum erreichen lassen, wenn hierfür keine Absatzmöglichkeiten vorhanden sind oder mit dem zusätzlichen Geldeinkommen aus dem Verkauf dieser Erzeugnisse keine oder nicht die gewünschten Waren erworben werden können. Ebenso wird
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Book 2008Latest editionnon 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..
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