We study existence and multiplicity of elastic bounce trajectories with fixed end points in a general bounded open set of R^N, in presence of a force field. Assuming the existence of a "bounce free trajectory" touching the boundary we prove the existence of multiple families of "true bounce trajecories" bifurcating from the initial one, as a suitable par<meter varies. We use an approxumation scheme and a variational approach: to accomplish this we develop a notion of "asymptotically critical point" for a family of functionals.

Asymptotically critical points and multiple elastic bounce trajectories

MARINO, ANTONIO;SACCON, CLAUDIO
2007

Abstract

We study existence and multiplicity of elastic bounce trajectories with fixed end points in a general bounded open set of R^N, in presence of a force field. Assuming the existence of a "bounce free trajectory" touching the boundary we prove the existence of multiple families of "true bounce trajecories" bifurcating from the initial one, as a suitable par
Marino, Antonio; Saccon, Claudio
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/195384
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