We state some existence and multiplicity results for periodic solutions with prescribed energy of a Lagrangian system and for closed geodesics on Riemannian manifolds convex close to their boundary. As an application we get the existence and multiplicity of periodic trajectories with fixed energy on a class of physically important Lorentzian manifolds with boundary.
Periodic trajectories with fixed energy on Riemannian and Lorentzian manifolds with boundary / Bartolo, R.; Germinario, A.; Sánchez, M.. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - STAMPA. - 177:1(1999), pp. 241-262. [10.1007/BF02505911]
Periodic trajectories with fixed energy on Riemannian and Lorentzian manifolds with boundary
Bartolo, R.;
1999-01-01
Abstract
We state some existence and multiplicity results for periodic solutions with prescribed energy of a Lagrangian system and for closed geodesics on Riemannian manifolds convex close to their boundary. As an application we get the existence and multiplicity of periodic trajectories with fixed energy on a class of physically important Lorentzian manifolds with boundary.File in questo prodotto:
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