Existence of nonminal quasiperiodic solutions for second order equations

Pablo Padilla

DOI: http://dx.doi.org/10.12775/TMNA.2002.034

Abstract


We consider the motion of $n$ particles under the action of a potential $F$.
Imposing appropriate conditions on $F$ we obtain quasiperiodic
solutions using variational methods. A Diophantine condition on the
frequency similar
to those encountered in KAM theory allows us to establish the necessary
properties of the corresponding functional. The solutions are then
obtained by means of the mountain pass theorem on a suitable convex
subset.

Keywords


Variational methods; quasiperiodic solutions

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