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<p>A variational approach for a parametric quasilinear elliptic equation driven by degenerate <i>p</i>(<i>x</i>)-Laplacian is used to obtain multiple solutions. In particular the existence of at least two or three solutions is established under an appropriate growth condition of the nonlinear term.</p>

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On Existence and Multiplicity of Solutions for a Class of Problems Involving Degenerate \(p(\cdot )\)-Laplacian

  • 期刊论文

  • 发表日期：

    2025年8月22日

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  • Gabriele Bonanno,
  • Antonia Chinnì,
  • Beatrice Di Bella,
  • Elisabetta Tornatore

摘要

A variational approach for a parametric quasilinear elliptic equation driven by degenerate p(x)-Laplacian is used to obtain multiple solutions. In particular the existence of at least two or three solutions is established under an appropriate growth condition of the nonlinear term.