Uniqueness Theorems For Variational Problems By The Method Of Transformation Groups
Download and Read Uniqueness Theorems For Variational Problems By The Method Of Transformation Groups full books in PDF, ePUB, and Kindle. Read online free Uniqueness Theorems For Variational Problems By The Method Of Transformation Groups ebook anywhere anytime directly on your device. We cannot guarantee that every ebooks is available!
Uniqueness Theorems for Variational Problems by the Method of Transformation Groups
Author | : Wolfgang Reichel |
Publisher | : Springer Science & Business Media |
Total Pages | : 172 |
Release | : 2004-05-13 |
Genre | : Mathematics |
ISBN | : 9783540218395 |
Download Uniqueness Theorems for Variational Problems by the Method of Transformation Groups Book in PDF, Epub and Kindle
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.
Uniqueness Theorems for Variational Problems by the Method of Transformation Groups Related Books
Pages: 172
Pages: 158
Pages: 129
Pages: 135
Pages: 467