Uniqueness Theorems for Variational Problems by the Method of Transformation Groups - Lecture Notes in Mathematics 1841 (Paperback)
  • Uniqueness Theorems for Variational Problems by the Method of Transformation Groups - Lecture Notes in Mathematics 1841 (Paperback)
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Uniqueness Theorems for Variational Problems by the Method of Transformation Groups - Lecture Notes in Mathematics 1841 (Paperback)

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Paperback 158 Pages / Published: 13/05/2004
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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.

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN: 9783540218395
Number of pages: 158
Weight: 550 g
Dimensions: 235 x 155 x 9 mm
Edition: 2004 ed.

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