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Infinitely many distributional solutions to a general kind of nonlinear fractional Schrödinger-Poisson systems

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Abstract

In this article, we consider a general kind of nonlinear fractional Schrödinger-Poisson systems. Under certain appropriate assumptions imposed on g, V and K, we prove the existence of infinitely many distributional solutions for any \(\lambda >0\) using the fountain theorem. Some new results are acquired which extend the related conclusion on this topic.

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Authors and Affiliations

  1. Laboratory of Applied Mathematics and History and Didactics of Mathematics (LAMAHIS), Department of Mathematics, University of 20 August 1955, P.O. Box 26, 21000, Skikda, Algeria

    Hamza Boutebba, Hakim Lakhal & Kamel Slimani

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  1. Hamza Boutebba
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  2. Hakim Lakhal
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  3. Kamel Slimani
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Correspondence to Hamza Boutebba.

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Communicated by Samy Ponnusamy.

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Boutebba, H., Lakhal, H. & Slimani, K. Infinitely many distributional solutions to a general kind of nonlinear fractional Schrödinger-Poisson systems. J Anal 32, 1079–1091 (2024). https://doi.org/10.1007/s41478-023-00674-4

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  • DOI: https://doi.org/10.1007/s41478-023-00674-4

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