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Infinitely many periodic solutions for a class of fractional Kirchhoff problems

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Abstract

We prove the existence of infinitely many nontrivial weak periodic solutions for a class of fractional Kirchhoff problems driven by a relativistic Schrödinger operator with periodic boundary conditions and involving different types of nonlinearities.

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Acknowledgements

The author would like to express his sincere gratitude to the referee for all insightful comments and valuable suggestions, which enabled to improve this version of the manuscript.

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  1. Dipartimento di Ingegneria Industriale e Scienze Matematiche, Università Politecnica delle Marche, Via Brecce Bianche, 12, 60131, Ancona, Italy

    Vincenzo Ambrosio

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  1. Vincenzo Ambrosio
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Correspondence to Vincenzo Ambrosio.

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Communicated by A. Jüngel.

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Ambrosio, V. Infinitely many periodic solutions for a class of fractional Kirchhoff problems. Monatsh Math 190, 615–639 (2019). https://doi.org/10.1007/s00605-019-01306-5

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