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

Reichel, Wolfgang

Brossura

ISBN 10: 3662175231 ISBN 13: 9783662175231

Casa editrice: Springer, 2014

Riassunto

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.

Dettagli dell?edizione

• Editore: Springer
• Data di pubblicazione: 2014
• ISBN 10: 3662175231
• ISBN 13: 9783662175231
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 172
• Contatto del produttore: non disponibile