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<p>This paper deals with a <i>p</i>(.,&#xa0;.)-fractional type equations involving singular and critical nonlinearities with two parameters. The approach used combines variational methods, <i>cut</i>-<i>off</i> argument together with Stampacchia’s truncation argument to ensure the existence, multiplicity and regularity of nonnegative weak solutions.</p>

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A nonlocal problem involving singularity and critical exponent

  • 期刊论文

  • 发表日期：

    2026年2月20日

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  • Omar El alami,
  • Abdelhak Bousgheiri,
  • Anass Ourraoui

摘要

This paper deals with a p(., .)-fractional type equations involving singular and critical nonlinearities with two parameters. The approach used combines variational methods, cut-off argument together with Stampacchia’s truncation argument to ensure the existence, multiplicity and regularity of nonnegative weak solutions.