High action orbits for Tonelli Lagrangians and superlinear Hamiltonians on compact configuration spaces

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dc.creatorAbbondandolo, Alberto
dc.creatorFigalli, Alessio
dc.date2006-09-22
dc.date.accessioned2026-07-07T07:41:41Z
dc.date.available2026-07-07T07:41:41Z
dc.descriptionMultiplicity results for solutions of various boundary value problems are known for dynamical systems on compact configuration manifolds, given by Lagrangians or Hamiltonians which have quadratic growth in the velocities or in the momenta. Such results are based on the richness of the topology of the space of curves satisfying the given boundary conditions. In this note we show how these results can be extended to the classical setting of Tonelli Lagrangians (Lagrangians which are $C^2$-convex and superlinear in the velocities), or to Hamiltonians which are superlinear in the momenta and have a coercive action integrand.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0609633
dc.identifierhttp://arxiv.org/abs/math/0609633
dc.identifierJournal of Differential Equations 234 (2007), 626-653
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122206
dc.subjectDynamical Systems
dc.subject37J45
dc.titleHigh action orbits for Tonelli Lagrangians and superlinear Hamiltonians on compact configuration spaces
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