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<p>This paper tackles a new class of nonlinear parabolic problem governed by double-phase-type operators with variable exponent growth and nonlinear source terms. By employing a combination of Galerkin approximation techniques and Young measure theory, we establish the existence of weak solutions within the Musielak–Orlicz framework.</p>

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WEAK SOLVABILITY OF NONLINEAR PARABOLIC PROBLEMS INVOLVING DOUBLE-PHASE-TYPE OPERATORS

  • 期刊论文

  • 发表日期：

    2026年2月12日

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  • Hasna Moujani,
  • Abderrazak Kassidi,
  • Ali El Mfadel,
  • M.’hamed Elomari

摘要

This paper tackles a new class of nonlinear parabolic problem governed by double-phase-type operators with variable exponent growth and nonlinear source terms. By employing a combination of Galerkin approximation techniques and Young measure theory, we establish the existence of weak solutions within the Musielak–Orlicz framework.