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Study of Generalized Double-Phase Problem with ς -Laplacian Operator

Author

Listed:
  • Elhoussain Arhrrabi

    (Laboratory of Applied Mathematics and Scientific Calculus, Sultan Moulay Slimane University, Beni Mellal 23000, Morocco
    Laboratory of Systems, Control and Decision (LSCD), School of New Engineering Sciences (ENSI), Tangier 90060, Morocco)

  • Hamza El-Houari

    (AMNEA Group, Department of Mathematics, Faculty of Sciences and Techniques Errachidia, University Moulay Ismail, Meknes 50050, Morocco)

  • Abdeljabbar Ghanmi

    (Department of Mathematics and Statistics, Faculty of Sciences, University of Jeddah, Jeddah 21493, Saudi Arabia)

  • Khaled Kefi

    (Center for Scientific Research and Entrepreneurship, Northern Border University, Arar 73213, Saudi Arabia)

Abstract

In this paper, we explore a novel class of double-phase ς -Laplacian problems involving a ϕ -Hilfer fractional operator. Employing variational techniques and weighted Musielak space theory, we establish the existence of infinitely many positive solutions under suitable assumptions on the nonlinearities. Our main results are original and significantly advance the literature on problems featuring ϕ -Hilfer derivatives and the ς -Laplacian operator.

Suggested Citation

  • Elhoussain Arhrrabi & Hamza El-Houari & Abdeljabbar Ghanmi & Khaled Kefi, 2025. "Study of Generalized Double-Phase Problem with ς -Laplacian Operator," Mathematics, MDPI, vol. 13(5), pages 1-11, February.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:5:p:700-:d:1596784
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