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Multiplicity result for a (p(x),q(x))-Laplacian-like system with indefinite weights

  • Khaled Kefi EMAIL logo and Chaima Nefzi
Published/Copyright: January 2, 2024
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Abstract

Under some suitable conditions, we show that at least three weak solutions exist for a system of differential equations involving the ( p ( x ) , q ( x ) ) Laplacian-like with indefinite weights. The proof is related to the Bonanno–Marano critical theorem (Appl. Anal. 89 (2010), 1–10).

Funding statement: The authors extend their appreciation to the Deanship of Scientific Research at Northern Border University, Arar, KSA for funding this research work through the project number “NBU-FFR-2023-0080”.

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Received: 2023-04-29
Revised: 2023-08-30
Accepted: 2023-09-09
Published Online: 2024-01-02
Published in Print: 2024-08-01

© 2024 Walter de Gruyter GmbH, Berlin/Boston

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