Uniqueness Theorems for Variational Problems by the Method of Transformation Groups
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The work Uniqueness Theorems for Variational Problems by the Method of Transformation Groups represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Uniqueness Theorems for Variational Problems by the Method of Transformation Groups
Resource Information
The work Uniqueness Theorems for Variational Problems by the Method of Transformation Groups represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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 Uniqueness Theorems for Variational Problems by the Method of Transformation Groups
 Statement of responsibility
 by Wolfgang Reichel
 Language
 eng
 Summary
 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 subsymmetry", i.e., a oneparameter group G of transformations of V, which strictly reduces the values of {\cal L}. The "method of transformation groups" is applied to secondorder elliptic boundary value problems on Riemannian manifolds. Further applications include problems of geometric analysis and elasticity
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 0
 LC call number

 QA315316
 QA402.3
 QA402.5QA402.6
 Literary form
 non fiction
 Series statement
 Lecture Notes in Mathematics,
 Series volume
 1841
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