| 书目名称 | Direct Methods in the Calculus of Variations |
| 编辑 | Bernard Dacorogna |
| 视频video | |
| 丛书名称 | Applied Mathematical Sciences |
| 图书封面 |  |
| 描述 | In recent years there has been a considerable renewal of interest in the clas sical problems of the calculus of variations, both from the point of view of mathematics and of applications. Some of the most powerful tools for proving existence of minima for such problems are known as direct methods. They are often the only available ones, particularly for vectorial problems. It is the aim of this book to present them. These methods were introduced by Tonelli, following earlier work of Hilbert and Lebesgue. Although there are excellent books on calculus of variations and on direct methods, there are recent important developments which cannot be found in these books; in particular, those dealing with vector valued functions and relaxation of non convex problems. These two last ones are important in appli cations to nonlinear elasticity, optimal design . . . . In these fields the variational 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 |
| 出版日期 | Book 19891st edition |
| 关键词 | Calculus of Variations; Convexity; Sobolev space; calculus; linear optimization; minimum; partial differen |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-51440-1 |
| isbn_ebook | 978-3-642-51440-1Series ISSN 0066-5452 Series E-ISSN 2196-968X |
| issn_series | 0066-5452 |
| copyright | Springer-Verlag Berlin Heidelberg 1989 |
发表于 2025-3-21 17:18:25
