Fine properties of minimizers of mechanical Lagrangians with Sobolev potentials

DOI10.3934/DCDS.2011.31.1325zbMath1238.49032OpenAlexW2066566930WikidataQ112632022 ScholiaQ112632022MaRDI QIDQ653898

Vito Mandorino, Alessio Figalli

Publication date: 20 December 2011

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2011.31.1325

zbMATH Keywords

Euler-Lagrange equationsvalue functionaction-minimizing measuresnon-smooth Lagrangians

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Regularity of solutions in optimal control (49N60) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Lagrange's equations (70H03)

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The Mather problem for lower semicontinuous Lagrangians

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