On a class of fractional Γ(.)-Kirchhoff-Schrödinger system type

Hamza El-Houari; Lalla Saádia  Chadli; Hicham Moussa

doi:10.56754/0719-0646.2601.053

DOI:

https://doi.org/10.56754/0719-0646.2601.053

Abstract

This paper focuses on the investigation of a Kirchhoff-Schrödinger type elliptic system involving a fractional \(\gamma(.)\)-Laplacian operator. The primary objective is to establish the existence of weak solutions for this system within the framework of fractional Orlicz-Sobolev Spaces. To achieve this, we employ the critical point approach and direct variational principle, which allow us to demonstrate the existence of such solutions. The utilization of fractional Orlicz-Sobolev spaces is essential for handling the nonlinearity of the problem, making it a powerful tool for the analysis. The results presented herein contribute to a deeper understanding of the behavior of this type of elliptic system and provide a foundation for further research in related areas.

Keywords

Fractional Orlicz-Sobolev spaces , Kirchhoff-Schrödinger system , Critical point theorem

Mathematics Subject Classification:

35J50 , 35J67 , 35S15

Hamza El-Houari Faculty of Sciences and Techniques, Research Laboratory “Applied Mathematics and Scientific Computing”, Beni Mellal, Morocco. https://orcid.org/0000-0003-4240-1286
Lalla Saádia Chadli Faculty of Sciences and Techniques, Research Laboratory “Applied Mathematics and Scientific Computing”, Beni Mellal, Morocco. https://orcid.org/0000-0002-0659-8774
Hicham Moussa Faculty of Sciences and Techniques, Research Laboratory “Applied Mathematics and Scientific Computing”, Beni Mellal, Morocco. https://orcid.org/0000-0002-4830-2900

Pages: 53–73
Date Published: 2024-04-04
Vol. 26 No. 1 (2024)

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