Geodesic
Sturm-Liouville equations involving discontinuous nonlinearities
Minimax theory and its applications, Tome 1 (2016) no. 1
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This paper deals with equations of Sturm-Liouville-type having nonlinearities on the right hand side being possibly discontinuous. We present different existence results of such equations under various hypotheses on the nonlinearities. Our approach relies on critical point theory for locally Lipschitz functionals. In particular, under suitable assumptions, an existence result of a non-zero local minimum for locally Lipschitz functionals is established
Mots-clés : Discontinuous nonlinearities, Nonsmooth critical point theory, Sturm-Liouville equa tions, Variational methods 
@article{MTA_2016_1_1_a7,
     author = {Gabriele Bonanno and Giuseppina D{\textquoteright}Agu` and Patrick Winkert},
     title = {Sturm-Liouville equations involving discontinuous nonlinearities},
     journal = {Minimax theory and its applications},
     year = {2016},
     volume = {1},
     number = {1},
     zbl = {1357.34048},
     url = {http://geodesic.mathdoc.fr/item/MTA_2016_1_1_a7/}
}
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Gabriele Bonanno; Giuseppina D’Agu`; Patrick Winkert. Sturm-Liouville equations involving discontinuous nonlinearities. Minimax theory and its applications, Tome 1 (2016) no. 1. http://geodesic.mathdoc.fr/item/MTA_2016_1_1_a7/