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April 2020 A multiplicity result for a non-local parametric problem with periodic boundary conditions
Vincenzo Ambrosio, Rossella Bartolo, Giovanni Molica Bisci
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Ark. Mat. 58(1): 1-18 (April 2020). DOI: 10.4310/ARKIV.2020.v58.n1.a1

Abstract

We look for bounded periodic solutions for a parametric fractional problem involving a continuous nonlinearity with subcritical growth. By using a variant of Caffarelli and Silvestre extension method adapted to the periodic case and variational tools we prove the existence of at least three bounded periodic solutions when the parameter varies in an appropriate range.

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Vincenzo Ambrosio. Rossella Bartolo. Giovanni Molica Bisci. "A multiplicity result for a non-local parametric problem with periodic boundary conditions." Ark. Mat. 58 (1) 1 - 18, April 2020. https://doi.org/10.4310/ARKIV.2020.v58.n1.a1

Information

Received: 13 November 2018; Revised: 10 April 2019; Published: April 2020
First available in Project Euclid: 16 January 2021

Digital Object Identifier: 10.4310/ARKIV.2020.v58.n1.a1

Subjects:
Primary: 49J35
Secondary: 35A15, 35S15, 47G20

Rights: Copyright © 2020 Institut Mittag-Leffler

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Vol.58 • No. 1 • April 2020
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