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<p>In this work, we investigate a class of nonlocal elliptic Dirichlet boundary value problems involving the fractional <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\varrho \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ϱ</mi> </math></EquationSource> </InlineEquation>-Laplacian and a combined Sobolev–Hardy potential. By employing topological degree methods within the framework of the abstract Hammerstein equation, we establish the existence of weak solutions for the considered problem.</p>

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On nonlinear elliptic equations driven by a fractional \(\varrho \)-Laplacian and Hardy potential

  • 期刊论文

  • 发表日期：

    2026年3月24日

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  • Ghizlane Zineddaine,
  • Abdelaziz Sabiry,
  • Abderrazak Kassidi

摘要

In this work, we investigate a class of nonlocal elliptic Dirichlet boundary value problems involving the fractional \(\varrho \) ϱ -Laplacian and a combined Sobolev–Hardy potential. By employing topological degree methods within the framework of the abstract Hammerstein equation, we establish the existence of weak solutions for the considered problem.