Format:
XIII, 152 S
,
graph. Darst
,
235 mm x 155 mm
ISBN:
3540218394
Series Statement:
Lecture notes in mathematics 1841
Content:
A classical problem in the calculus of variations is the investigation ofcritical 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. TOC: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 andomegae
Note:
Literaturverz. S. [145] - 149
Additional Edition:
Erscheint auch als Online-Ausgabe Reichel, Wolfgang Uniqueness Theorems for Variational Problems by the Method of Transformation Groups Berlin, Heidelberg : Springer Berlin Heidelberg, 2004 ISBN 9783540409151
Additional Edition:
Online-Ausg. Reichel, Wolfgang Uniqueness Theorems for Variational Problems by the Method of Transformation Groups Berlin, Heidelberg : Springer Berlin Heidelberg, 2004 ISBN 9783540409151
Language:
English
Subjects:
Mathematics
Keywords:
Variationsrechnung
;
Transformationsgruppe
;
Eindeutigkeitssatz
;
Variationsproblem
URL:
http://www.loc.gov/catdir/enhancements/fy0813/2004103794-b.html
URL:
http://www.loc.gov/catdir/enhancements/fy0813/2004103794-d.html
URL:
http://www.loc.gov/catdir/enhancements/fy0813/2004103794-t.html
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