Existence of ground state solutions of elliptic system in Fractional Orlicz-Sobolev Spaces

El-Houari, H.; Chadli, Lalla Saâdia; Moussa, H.

doi:10.53006/rna.1021871

Cited by 9 publications

(1 citation statement)

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“…a member of C 1 (Ω × R 2 ) and complies with appropriate growth conditions, but notably does not satisfy the well-known Ambrosetti-Rabinowitz condition. For further problems related to the fractional Orlicz-Sobolev spaces, we refer to [6,7,[10][11][12][13][14][15][16]. By setting Γ i (t) = |t| r r , our problem (1.1) can be reduced to the fractional (p, q)-Schrödinger-Kirchhoff elliptic system given in (1.6).…”

Section: The Stationary Version Of the Kirchhoff Equationmentioning

confidence: 99%

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

El-Houari,

Chadli,

Moussa

2024

Cubo (Temuco, Online)

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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.

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