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Uniqueness of entropy solutions for specific double-phase systems under Dirichlet-type boundary conditions

Adnane Kaddiri, Ahmed Jamea, Mohamed Laghdir, El Mehdi Hassoune Applicationes Mathematicae MSC: Primary 35J60; Secondary 35D30, 35A02, 46E30, 35R11 DOI: 10.4064/am2550-2-2025 Opublikowany online: 7 July 2025

Streszczenie

We demonstrate the uniqueness of entropy solutions for a class of quasilinear elliptic equations governed by the double-phase operator, with Dirichlet-type boundary conditions and $L^{1}$-data on the right-hand side. We use the framework of Musielak–Orlicz–Sobolev spaces.

Autorzy

  • Adnane KaddiriInnovation Laboratory
    Technology Transfer and Entrepreneurship (ILTE)
    Department of Mathematics
    University of Chouaib Doukkali
    El Jadida 24000, Morocco
    e-mail
  • Ahmed JameaEquipe STIE
    Regional Center for Education
    and Training Professions (RCETP)
    Department of Mathematics
    University of Chouaib Doukkali
    El Jadida 24000, Morocco
    e-mail
  • Mohamed LaghdirInnovation Laboratory
    Technology Transfer and Entrepreneurship (ILTE)
    Department of Mathematics
    University of Chouaib Doukkali
    El Jadida 24000, Morocco
    e-mail
  • El Mehdi HassouneInnovation Laboratory
    Technology Transfer and Entrepreneurship (ILTE)
    Department of Mathematics
    University of Chouaib Doukkali
    El Jadida 24000, Morocco
    e-mail

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