Fine properties of minimizers of mechanical Lagrangians with Sobolev potentials
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Datum
2011-12Typ
- Journal Article
ETH Bibliographie
no
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Abstract
In this paper we study the properties of curves minimizing mechanical Lagrangianwhere the potential is Sobolev. Since a Sobolev functionis 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 ofvariational solutions to the incompressible Euler equations. Mehr anzeigen
Persistenter Link
https://doi.org/10.3929/ethz-b-000128219Publikationsstatus
publishedExterne Links
Zeitschrift / Serie
Discrete and Continuous Dynamical Systems. Series ABand
Seiten / Artikelnummer
Verlag
American Institute of Mathematical SciencesThema
Non-smooth Lagrangians; Euler-Lagrange equations; Action-minimizing measures; Value functionOrganisationseinheit
09565 - Figalli, Alessio / Figalli, Alessio
Anmerkungen
Published online September 2011.ETH Bibliographie
no
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