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| Fiche détaillée | Articles dans des revues avec comité de lecture |
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| Discrete and Continuous Dynamical Systems - Series A 31, 4 (2011) 1325 -- 1346 |
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| Fine properties of minimizers of mechanical Lagrangians with Sobolev potentials |
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| Alessio Figalli1Vito Mandorino2 |
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| In this paper we study the properties of curves minimizing mechanical Lagrangian where the potential is Sobolev. Since a Sobolev function is only defined almost everywhere, no pointwise results can be obtained in this framework, and our point of view is shifted from single curves to measures in the space of paths. This study is motived by the goal of understanding the properties of variational solutions to the incompressible Euler equations. |
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| 1 : | Department of Mathematics |
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| 2 : | CEREMADE - CEntre de REcherches en MAthématiques de la DEcision |
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| Non-smooth Lagrangians – Euler-Lagrange equations – action-minimizing measures – value function. |
| hal-00636941, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00636941 | |
| oai:hal.archives-ouvertes.fr:hal-00636941 | |
| Contributeur : Vito Mandorino | |
| Soumis le : Vendredi 28 Octobre 2011, 17:17:19 | |
| Dernière modification le : Dimanche 30 Octobre 2011, 12:10:27 | |