Uniqueness Theorems for Variational Problems by the Method of Transformation Groups
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...
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| Edition sous un autre format: | • Uniqueness theorems for variational problems by the method of transformation groups, Wolfgang Reichel, 2004, Berlin, Springer, 1 vol. (XIII-152 p.), Lecture Notes in Mathematics, 3-540-21839-4 • Uniqueness Theorems for Variational Problems by the Method of Transformation Groups, Texte imprimé, 9783662175231 |
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| 100 | 1 | |a Reichel, Wolfgang. | |
| 245 | 1 | 0 | |a Uniqueness Theorems for Variational Problems by the Method of Transformation Groups |c Wolfgang Reichel. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1841 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
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| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Calcul des variations | ||
| 650 | |a Transformations (mathématiques) | ||
| 650 | |a Problèmes aux limites non linéaires | ||
| 650 | |a Riemann, Variétés de | ||
| 650 | |a Groupes de transformations | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Mathématiques | ||
| 776 | 0 | |0 078663512 |t Uniqueness theorems for variational problems by the method of transformation groups |f Wolfgang Reichel |d 2004 |c Berlin |n Springer |p 1 vol. (XIII-152 p.) |s Lecture Notes in Mathematics |z 3-540-21839-4 | |
| 776 | 0 | |t Uniqueness Theorems for Variational Problems by the Method of Transformation Groups |b Texte imprimé |z 9783662175231 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/b96984 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-9M3748GM-8 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750678283 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/b96984 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754026256 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/b96984 |z Accès INSA CVL | |
| 997 | |0 969065 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||