Let (M,g) be a smooth Riemann manifold and A an open bounded subset of M such that the closure of A is homeomorphic to the unitary ball in R^n and the boundary of A il locally convex. Let V a C^2-potentialon M and T> 0. Using the theory of the subordinated classes, under suitable assumptions on V and T we prove the existence of at least n periodic solutions of the corresponding Lagrangian system having minimal period 2T and bouncing orthogonally against the boundary of A.
Multiplicity of principle bounce trajectories with prescribed minimal period on Riemannian manifolds
GIANNONI, Fabio
1993-01-01
Abstract
Let (M,g) be a smooth Riemann manifold and A an open bounded subset of M such that the closure of A is homeomorphic to the unitary ball in R^n and the boundary of A il locally convex. Let V a C^2-potentialon M and T> 0. Using the theory of the subordinated classes, under suitable assumptions on V and T we prove the existence of at least n periodic solutions of the corresponding Lagrangian system having minimal period 2T and bouncing orthogonally against the boundary of A.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
