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[null,"1.","Record Nr.",null,"UNINA9910144618903321"]
[null,null,"Autore",null,"Reichel Wolfgang"]
[null,null,"Titolo",null,"Uniqueness Theorems for Variational Problems by the Method of Transformation Groups / / by Wolfgang Reichel"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2004"]
[null,null,"ISBN",null,"3-540-40915-7"]
[null,null,"Edizione",null,"[1st ed. 2004.]"]
[null,null,"Descrizione fisica",null,"1 online resource (XIV, 158 p.)"]
[null,null,"Collana",null,"Lecture Notes in Mathematics, , 0075-8434 ; ; 1841"]
[null,null,"Disciplina",null,"512"]
[null,null,"Soggetti",null,"Calculus of variations"]
[{"$nulls":4},"Differential equations, Partial"]
[{"$nulls":4},"Calculus of Variations and Optimal Control; Optimization"]
[{"$nulls":4},"Partial Differential Equations"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (pages [144]-149) and index."]
[null,null,"Nota di contenuto",null,"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."]
[null,null,null,"Sommario/riassunto","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."]