Three weak solutions to a periodic boundary Sturm-Liouville problem with discontinuous reaction

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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Publication Details

Journal
Discrete and Continuous Dynamical Systems - S
Published
2024-10-31
DOI
https://doi.org/10.3934/dcdss.2024192
Citations
5
Primary Topic
Spectral Theory in Mathematical Physics
Type
article
Field-Weighted Citation Impact
4.45
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article

Three weak solutions to a periodic boundary Sturm-Liouville problem with discontinuous reaction

Roberto Livrea, Bruno Vassallo
5 citations
Discrete and Continuous Dynamical Systems - S
Spectral Theory in Mathematical Physics
4.45
article

Three weak solutions to a periodic boundary Sturm-Liouville problem with discontinuous reaction

Roberto Livrea, Bruno Vassallo
article en
5 citations

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.

Discrete and Continuous Dynamical Systems - SVol. 18(6)
University of Messina (IT)
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Openalex Percentile: Top 4%
Spectral Theory in Mathematical Physics
4.45
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Three weak solutions to a periodic boundary Sturm-Liouville problem with discontinuous reaction — Roberto Livrea, Bruno Vassallo · Discrete and Continuous Dynamical Systems - S (2024) | TGRS Research Map | TGRS