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Carte Uniqueness Theorems for Variational Problems by the Method of Transformation Groups Reichel Wolfgang Reichel

Uniqueness Theorems for Variational Problems by the Method of Transformation Groups

Autor: Reichel Wolfgang Reichel
Limbă: engleză
Legare: Carte broșată
Editura: Springer Nature B.V.
Disponibilitate: În depozitul extern
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A classical problem in the calculus of variations is the investigation of critical points of functio...

Informații despre carte

Autor
Reichel Wolfgang Reichel
Limbă
engleză
Legare
Carte - Carte broșată
Publicat
2014
Pagini
172
EAN
9783662175231
Enbook ID
43423406
Editura
Springer Nature B.V.
Greutate
251
Dimensiuni
156 x 234

Descriere completă

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.