This paper aims to establish the existence of three solutions to a periodic boundary value problem with the Sturm-Liouville equation having discontinuous nonlinearities. The approach is based on the critical point theory for non-differentiable functionals.
Livrea, R., Vassallo, B. (2025). Three weak solutions to a periodic boundary Sturm-Liouville problem with discontinuous reaction. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S, 18(6), 1660-1672 [10.3934/dcdss.2024192].
Three weak solutions to a periodic boundary Sturm-Liouville problem with discontinuous reaction
Livrea, Roberto
;Vassallo, Bruno
2025-01-01
Abstract
This paper aims to establish the existence of three solutions to a periodic boundary value problem with the Sturm-Liouville equation having discontinuous nonlinearities. The approach is based on the critical point theory for non-differentiable functionals.
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