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<p>Our aim within the present study is to investigate the solvability of an elliptic system problem steered by the fractional <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(m_{x,y}(\cdot )\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>m</mi> <mrow> <mi>x</mi> <mo>,</mo> <mi>y</mi> </mrow> </msub> <mrow> <mo stretchy="false">(</mo> <mo>·</mo> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation>-Laplacian inside the fractional Musielak framework. The system is characterized by singular terms presenting both convex and concave behavior. Our strategy is based on the generalized Galerkin method, complemented by suitable perturbation arguments and comparison tools.</p>

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Fractional Musielak spaces: Analysis of non-local singular elliptic system

  • 期刊论文

  • 发表日期：

    2026年5月27日

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  • Abdelbasset Lagnaoui,
  • Hamza El-Houari,
  • Hicham Moussa,
  • Hajar Sabiki

摘要

Our aim within the present study is to investigate the solvability of an elliptic system problem steered by the fractional \(m_{x,y}(\cdot )\) m x , y ( · ) -Laplacian inside the fractional Musielak framework. The system is characterized by singular terms presenting both convex and concave behavior. Our strategy is based on the generalized Galerkin method, complemented by suitable perturbation arguments and comparison tools.