A Lagrangian system is considered, under one-sided growth conditions on the Lagrangian function. The existence of a critical point of mountain pass type is proved. An application to light rays is shown, with some numerical evaluations.

Degiovanni, M., Variational methods with application to one-dimensional boundary value problems and numerical evaluations, in Chiappini, M., Vespri, V. (ed.), Applied mathematical problems in geophysics, Springer Verlag, Cham 2022: <<LECTURE NOTES IN MATHEMATICS>>, 2308 85- 123. 10.1007/978-3-031-05321-4 [https://hdl.handle.net/10807/219587]

Variational methods with application to one-dimensional boundary value problems and numerical evaluations

Degiovanni, Marco
2022

Abstract

A Lagrangian system is considered, under one-sided growth conditions on the Lagrangian function. The existence of a critical point of mountain pass type is proved. An application to light rays is shown, with some numerical evaluations.
Inglese
Applied mathematical problems in geophysics
978-3-031-05320-7
Springer Verlag
2308
Degiovanni, M., Variational methods with application to one-dimensional boundary value problems and numerical evaluations, in Chiappini, M., Vespri, V. (ed.), Applied mathematical problems in geophysics, Springer Verlag, Cham 2022: <<LECTURE NOTES IN MATHEMATICS>>, 2308 85- 123. 10.1007/978-3-031-05321-4 [https://hdl.handle.net/10807/219587]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/219587
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