| 书目名称 | Uniqueness Theorems for Variational Problems by the Method of Transformation Groups |
| 编辑 | Wolfgang Reichel |
| 视频video | |
| 概述 | Includes supplementary material: |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .A classical problem in the calculus of variations is the investigation of critical points of functionals {cal L} on normed spaces .V.. The present work addresses the question: Under what conditions on the functional {cal L} and the underlying space .V .does {cal L} have at most one critical point?..A sufficient condition for uniqueness is given: the presence of a "variational sub-symmetry", i.e., a one-parameter group .G .of transformations of .V., which strictly reduces the values of {cal L}. The "method of transformation groups" is applied to second-order elliptic boundary value problems on Riemannian manifolds. Further applications include problems of geometric analysis and elasticity. . |
| 出版日期 | Book 2004 |
| 关键词 | Boundary value problem; Calculus of Variations; boundary value problems; partial differential equation; |
| 版次 | 1 |
| doi | https://doi.org/10.1007/b96984 |
| isbn_softcover | 978-3-540-21839-5 |
| isbn_ebook | 978-3-540-40915-1Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 2004 |
发表于 2025-3-21 17:37:07
