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_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.
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