We look for periodic solutions for a dynamical system on a non-complete Riemannian manifold. If the potential is bounded and suitable convexity assumptions hold, the existence of infinitely many solutions can be proved by means of variational methods, penalization arguments and classical Ljusternik-Schnirelman theory.
Periodic solutions for dynamical systems on non-complete Riemannian manifolds
CANDELA, Anna Maria;SALVATORE, Addolorata
2005-01-01
Abstract
We look for periodic solutions for a dynamical system on a non-complete Riemannian manifold. If the potential is bounded and suitable convexity assumptions hold, the existence of infinitely many solutions can be proved by means of variational methods, penalization arguments and classical Ljusternik-Schnirelman theory.File in questo prodotto:
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