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<p>In this paper, we study some quasilinear elliptic equations in the nonlocal fractional setting under Dirichlet boundary conditions and combined critical Sobolev-Hardy terms on bounded smooth domains. We prove the existence and multiplicity of solutions by employing variational methods.</p>

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Quasilinear elliptic problems with fractional p-Laplacian and combined critical Sobolev-Hardy terms

  • 期刊论文

  • 发表日期：

    2026年7月28日

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  • César E. Torres Ledesma,
  • Olimpio H. Miyagaki

摘要

In this paper, we study some quasilinear elliptic equations in the nonlocal fractional setting under Dirichlet boundary conditions and combined critical Sobolev-Hardy terms on bounded smooth domains. We prove the existence and multiplicity of solutions by employing variational methods.