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標題: Titlebook: Direct Methods in the Calculus of Variations; Bernard Dacorogna Book 19891st edition Springer-Verlag Berlin Heidelberg 1989 Calculus of Va [打印本頁]

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作者: 歡笑    時間: 2025-3-21 20:51
Book 19891st editionl methods are particularly effective. Part of the mathematical developments and of the renewal of interest in these methods finds its motivations in nonlinear elasticity. Moreover, one of the recent important contributions to nonlinear analysis has been the study of the behaviour of nonlinear functi
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Richard A. Marder MD,George J. Lian MD Morrey. However it is hard to verify, in practice, if a given function . is quasiconvex, since it is not pointwise condition. Therefore one is lead to introduce a slightly weaker condition known as . and a stronger condition, introduced by Ball, called .. One can relate all these definitions through the following diagram (Fig. 4.1).
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Eva Llopis,Mario Padrón,Rosa de la PuenteIn this section we only give the definitions and main theorems that we shall need in the next chapters. Most of the theorems are standard and their proofs as well as a deeper analysis are available in several classical textbooks.
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Introduction,In this book we shall be concerned with one of the central problems of the calculus of variations which is to find among all functions with prescribed boundary condition, those which minimize a given functional.
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Preliminaries,In this section we only give the definitions and main theorems that we shall need in the next chapters. Most of the theorems are standard and their proofs as well as a deeper analysis are available in several classical textbooks.
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General Setting and the Scalar Case,In the first section of this chapter we start with abstract considerations.
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https://doi.org/10.1007/978-3-642-51440-1Calculus of Variations; Convexity; Sobolev space; calculus; linear optimization; minimum; partial differen
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Direct Methods in the Calculus of Variations978-3-642-51440-1Series ISSN 0066-5452 Series E-ISSN 2196-968X
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