Del 1841 - Lecture Notes in Mathematics
Uniqueness Theorems for Variational Problems by the Method of Transformation Groups
Häftad, Engelska, 2004
499 kr
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Fri frakt för medlemmar vid köp för minst 249 kr.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.
Produktinformation
- Utgivningsdatum2004-05-13
- Mått155 x 235 x undefined mm
- SpråkEngelska
- SerieLecture Notes in Mathematics
- Antal sidor158
- FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
- EAN9783540218395