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Item Details
| Title:
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UNIQUENESS THEOREMS FOR VARIATIONAL PROBLEMS BY THE METHOD OF TRANSFORMATION GROUPS
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| By: |
Wolfgang Reichel |
| Format: |
Paperback |
| List price:
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£31.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
3540218394 |
| ISBN 13: |
9783540218395 |
| Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
| Pub. date: |
13 May, 2004 |
| Edition: |
2004 ed. |
| Series: |
Lecture Notes in Mathematics v.1841 |
| Pages: |
158 |
| Description: |
A classical problem in the calculus of variations is the investigation of critical points of functionals {cal L on normed spaces V. This 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. |
| Synopsis: |
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. |
| Illustrations: |
biography |
| Publication: |
Germany |
| Imprint: |
Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
| Returns: |
Returnable |
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