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<p>In this work, we examine a singular Kirchhoff-type problem within a fractional framework characterized by variable exponents. By leveraging the Nehari manifold approach, fibering map, and variational techniques, we establish the existence and multiplicity of solutions. Through this analysis, we demonstrate the existence of two distinct nontrivial weak solutions within the functional setting of weighted fractional Sobolev spaces with variable exponents.</p>

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On a singular fractional \(p(x,\cdot )\)-Kirchhoff type problem: variational analysis

  • 期刊论文

  • 发表日期：

    2025年10月24日

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  • E. Azroul,
  • N. Kamali,
  • N. Madani

摘要

In this work, we examine a singular Kirchhoff-type problem within a fractional framework characterized by variable exponents. By leveraging the Nehari manifold approach, fibering map, and variational techniques, we establish the existence and multiplicity of solutions. Through this analysis, we demonstrate the existence of two distinct nontrivial weak solutions within the functional setting of weighted fractional Sobolev spaces with variable exponents.