We consider an open connected set Ω and a smooth potential U which is positive in Ω and vanishes on ∂Ω. We study the existence of orbits of the mechanical system u¨=Ux(u), that connect different components of ∂Ω and lie on the zero level of the energy. We allow that ∂Ω contains a finite number of critical points of U. The case of symmetric potential is also considered.

On the existence of connecting orbits for critical values of the energy

Gronchi, Giovanni F.;Novaga, Matteo
2017-01-01

Abstract

We consider an open connected set Ω and a smooth potential U which is positive in Ω and vanishes on ∂Ω. We study the existence of orbits of the mechanical system u¨=Ux(u), that connect different components of ∂Ω and lie on the zero level of the energy. We allow that ∂Ω contains a finite number of critical points of U. The case of symmetric potential is also considered.
2017
Fusco, Giorgio; Gronchi, Giovanni F.; Novaga, Matteo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/884198
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