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Titlebook: Direct Methods in the Calculus of Variations; Bernard Dacorogna Book 2008Latest edition Springer-Verlag New York 2008 Calculus of Variatio

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樓主
發(fā)表于 2025-3-21 16:20:10 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Direct Methods in the Calculus of Variations
編輯Bernard Dacorogna
視頻videohttp://file.papertrans.cn/281/280620/280620.mp4
概述Applications included.The subject is a very active one, almost half of the book consists of new materials.Includes supplementary material:
叢書名稱Applied Mathematical Sciences
圖書封面Titlebook: Direct Methods in the Calculus of Variations;  Bernard Dacorogna Book 2008Latest edition Springer-Verlag New York 2008 Calculus of Variatio
描述.This book studies vectorial problems in the calculus of variations and quasiconvex analysis. It is a new edition of the earlier book published in 1989 and has been updated?with some new material and examples added...This monograph will appeal to researchers and graduate students in mathematics and engineering..
出版日期Book 2008Latest edition
關鍵詞Calculus of Variations; Dacorogna; Direct Methods; Variations; calculus; differential equation; minimum; pa
版次2
doihttps://doi.org/10.1007/978-0-387-55249-1
isbn_softcover978-1-4419-2259-5
isbn_ebook978-0-387-55249-1Series ISSN 0066-5452 Series E-ISSN 2196-968X
issn_series 0066-5452
copyrightSpringer-Verlag New York 2008
The information of publication is updating

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沙發(fā)
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板凳
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Convex sets and convex functions Minkowski theorem, also usually better known as Krein-Milman theorem, which is its infinite dimensional version. In Section 2.3, we list some properties of convex functions such as Jensen inequality, the continuity of such functions, the notion of duality and of subdifferential.
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Polyconvex, quasiconvex and rank one convex sets the same concepts. We here try to imitate as much as possible the classical approach of convex analysis in the present context. Throughout the two first sections, we follow the presentation of Dacorogna-Ribeiro [213], following earlier results of Dacorogna- Marcellini [202].
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Lower semi continuity and existence theorems in the vectorial case
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Existence of minima for non-quasiconvex integrands
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https://doi.org/10.1007/978-0-387-40045-7 the same concepts. We here try to imitate as much as possible the classical approach of convex analysis in the present context. Throughout the two first sections, we follow the presentation of Dacorogna-Ribeiro [213], following earlier results of Dacorogna- Marcellini [202].
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