Uniqueness Theorems for Variational Problems by the Method of Transformation Groups - Brossura

Reichel, Wolfgang

 
9783662175231: Uniqueness Theorems for Variational Problems by the Method of Transformation Groups
Brossura
ISBN 10: 3662175231 ISBN 13: 9783662175231
Casa editrice: Springer, 2014

Sinossi

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.

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Editore
Springer
Data di pubblicazione
2014
Lingua
Inglese
ISBN 10 
3662175231
ISBN 13 
9783662175231
Rilegatura
Copertina flessibile
Numero di pagine
172
Contatto del produttore
Elevation
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Altre edizioni note dello stesso titolo

9783540218395: Uniqueness Theorems For Variational Problems By The Method Of Transformation Groups (Lecture Notes In Mathematics): 1841

Edizione in evidenza

ISBN 10:  3540218394 ISBN 13:  9783540218395
Casa editrice: Springer, 2004
Brossura