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Uniqueness Theorems for Variational Problems by the Method of Transformation Groups (English, Wolfgang Reichel)
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About the Book
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 , w…
ISBN: 9783540218395
Specifications
| Publisher | Springer |
| Language | English |
| ISBN-13 | 9783540218395 |
| ISBN-10 | 3540218394 |
| Author | Wolfgang Reichel |
