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Titlebook: Variational Methods; Applications to Nonl Michael Struwe Book 19962nd edition Springer-Verlag Berlin Heidelberg 1996 Hamiltonian Systems.Ma

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书目名称Variational Methods
副标题Applications to Nonl
编辑Michael Struwe
视频video
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 19962nd edition Springer-Verlag Berlin Heidelberg 1996 Hamiltonian Systems.Ma
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 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.
出版日期Book 19962nd edition
关键词Hamiltonian Systems; Mathematica; Mathematical Physics; Partial Differential Equations; calculus; calculu
版次2
doihttps://doi.org/10.1007/978-3-662-03212-1
isbn_ebook978-3-662-03212-1Series ISSN 0071-1136 Series E-ISSN 2197-5655
issn_series 0071-1136
copyrightSpringer-Verlag Berlin Heidelberg 1996
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The Direct Methods in the Calculus of Variations,Many problems in analysis can be cast into the form of functional equations .) = 0, the solution . being sought among a class of admissible functions belonging to some Banach space ..
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Minimax Methods,In the preceding chapter we have seen that (weak sequential) lower semi-continuity and (weak sequential) compactness of the sub-level sets of a functional . on a Banach space . suffice to guarantee the existence of a minimizer of ..
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Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematihttp://image.papertrans.cn/v/image/980580.jpg
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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 dimensions.
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Michael Struwele of a framework for integrating EIA into the decisionmaking process. NEPA is well intentioned, but it has spawned an assessment process that is unstructured, incomplete, inconsistent, and not well integrated with all facets of the governmental decisionmaking process. Other models of integrating en
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