On the existence of renormalized solution for some nonlinear parabolic problems in Musielak-Orlicz spaces

  • Badr El Haji Abdelmalek Essaadi University
  • Bouchaib Ferrahi Abdelmalek Essaadi University
  • Mohamed Samadi Abdelmalek Essaadi University

Abstract

In this paper, we will prove in Musielak–Orlicz spaces, the existence of renormalized solution for nonlinear parabolic problems of Leray-Lions type, in the case where the Musielak–Orlicz function \varphi doesn’t satisfy the \Delta_2-condition while the right hand side f belongs to L^1(Q_{T}).

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Published
2026-01-22
Section
Advances in Algebra, Analysis, Optimization, and Modeling