Fine properties of minimizers of mechanical Lagrangians with Sobolev potentials
Open access
Date
2011-12Type
- Journal Article
ETH Bibliography
no
Altmetrics
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. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000128219Publication status
publishedExternal links
Journal / series
Discrete and Continuous Dynamical Systems. Series AVolume
Pages / Article No.
Publisher
American Institute of Mathematical SciencesSubject
Non-smooth Lagrangians; Euler-Lagrange equations; Action-minimizing measures; Value functionOrganisational unit
09565 - Figalli, Alessio / Figalli, Alessio
Notes
Published online September 2011.More
Show all metadata
ETH Bibliography
no
Altmetrics