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<p>This paper extends and generalizes recent work by incorporating a double-phase operator with variable exponents, a Kirchhoff term, and logarithmic nonlinearity within the framework of Musielak-Orlicz Sobolev spaces. We investigate the existence of least-energy sign-changing solutions for a Kirchhoff-type double-phase Dirichlet problem involving variable exponents and logarithmic nonlinearity. The proof relies on Brouwer degree theory, a quantitative deformation lemma, and a minimization method.</p>

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Kirchhoff-type double-phase problems with variable exponents and logarithmic nonlinearity in Musielak-Orlicz Sobolev spaces

  • 期刊论文

  • 发表日期：

    2025年7月28日

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  • Hind Bouaam,
  • Mohamed El Ouaarabi,
  • Said Melliani

摘要

This paper extends and generalizes recent work by incorporating a double-phase operator with variable exponents, a Kirchhoff term, and logarithmic nonlinearity within the framework of Musielak-Orlicz Sobolev spaces. We investigate the existence of least-energy sign-changing solutions for a Kirchhoff-type double-phase Dirichlet problem involving variable exponents and logarithmic nonlinearity. The proof relies on Brouwer degree theory, a quantitative deformation lemma, and a minimization method.