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Minimal measures on the level sets below Mañé critical value

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Publication:2149012
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DOI10.1007/s00526-022-02275-8zbMath1501.37066OpenAlexW4283397220WikidataQ114017837 ScholiaQ114017837MaRDI QIDQ2149012

Min Zhou

Publication date: 24 June 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-022-02275-8

zbMATH Keywords

Lagrangian systemsMañé critical value


Mathematics Subject Classification ID

Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)




Cites Work

  • Unnamed Item
  • Smooth linearization of hyperbolic fixed points without resonance conditions
  • Action minimizing invariant measures for positive definite Lagrangian systems
  • Variational construction of connecting orbits
  • The Palais-Smale condition on contact type energy levels for convex Lagrangian systems
  • Lagrangian flows: The dynamics of globally minimizing orbits
  • Generic properties and problems of minimizing measures of Lagrangian systems
  • Homoclinic orbits to invariant sets of quasi-integrable exact maps
  • Existence of periodic solutions of Hamiltonian systems on almost every energy surface
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