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.
2022
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_4 [https://hdl.handle.net/10807/219587]
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/219587
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? ND
social impact