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<p>In this paper, we study an elliptic problem involving the critical Hardy–Sobolev–Maz’ya exponent and concave nonlinearity in a bounded domain <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\Omega \)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="normal">Ω</mi> </math></EquationSource> </InlineEquation>. We establish, under appropriate conditions on <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\mu \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>μ</mi> </math></EquationSource> </InlineEquation> and the dimension <i>N</i>, the existence of infinitely many sign-changing solutions to this equation.</p>

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Infinitely many sign-changing solutions for an elliptic equation involving the critical Hardy–Sobolev–Maz’ya exponent and concave nonlinearity

  • 期刊论文

  • 发表日期：

    2026年3月5日

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  • Khalid Bouabid,
  • Mohammed Mouniane,
  • Zakaria Zaimi

摘要

In this paper, we study an elliptic problem involving the critical Hardy–Sobolev–Maz’ya exponent and concave nonlinearity in a bounded domain \(\Omega \) Ω . We establish, under appropriate conditions on \(\mu \) μ and the dimension N, the existence of infinitely many sign-changing solutions to this equation.