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Reichel

Uniqueness Theorems for Variational Problems by the Method of Transformation Groups

Medium: Buch
ISBN: 978-3-540-21839-5
Verlag: Springer
Erscheinungstermin: 13.05.2004
Lieferfrist: bis zu 10 Tage

A classical problem in the calculus of variations is the investigation of critical points of functionals {\cal L} on normed spaces . The present work addresses the question: Under what conditions on the functional {\cal L} and the underlying space 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 of transformations of , 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.


Produkteigenschaften


  • Artikelnummer: 9783540218395
  • Medium: Buch
  • ISBN: 978-3-540-21839-5
  • Verlag: Springer
  • Erscheinungstermin: 13.05.2004
  • Sprache(n): Englisch
  • Auflage: 1. Auflage 2004
  • Serie: Lecture Notes in Mathematics
  • Produktform: Kartoniert
  • Gewicht: 550 g
  • Seiten: 158
  • Format (B x H): 155 x 235 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

Introduction.- Uniqueness of Critical Points (I).- Uniqueness of Citical Pints (II).- Variational Problems on Riemannian Manifolds.- Scalar Problems in Euclidean Space.- Vector Problems in Euclidean Space.- Fréchet-Differentiability.- Lipschitz-Properties of ge and omegae.