International Journal of Nonlinear Analysis and Applications

Multiple nontrivial solutions to a class of fractional Schrödinger-Maxwell systems in Bessel potential space

Articles in Press

Document Type : Research Paper

Authors

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

Abstract

This work deals with a class of fractional Schrödinger-Maxwell systems related to the distributional Riesz fractional gradient. First, we introduce the latter operator and investigate its appropriate functional framework. Then, we pose the given problem in that space. Applying variational methods combined with the Symmetric Mountain Pass critical point Theorem, we obtain the existence of infinitely many nontrivial solutions in Bessel potential space.

Keywords

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International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 13 October 2025
  • Receive Date: 11 October 2024
  • Revise Date: 16 November 2024
  • Accept Date: 19 November 2024