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<p>In this research, we establish that, within the Musielak Sobolev space context and under specific conditions on the data, there exists at least one non-trivial solution to the double phase problem, with a homogeneous Choquard-type expression on the right-hand side. Our method utilizes the Nehari manifold, the Hardy-Littlewood-Sobolev inequality, and various variational techniques. The results presented here expand upon existing findings.</p>

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ANALYSIS OF A SINGULAR DOUBLE-PHASE EQUATION WITH HOMOGENEOUS CHOQUARD TERM

  • 期刊论文

  • 发表日期：

    2025年6月12日

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  • Brahim El Alami,
  • Ahmed Aberqi,
  • Mhamed Elmassoudi

摘要

In this research, we establish that, within the Musielak Sobolev space context and under specific conditions on the data, there exists at least one non-trivial solution to the double phase problem, with a homogeneous Choquard-type expression on the right-hand side. Our method utilizes the Nehari manifold, the Hardy-Littlewood-Sobolev inequality, and various variational techniques. The results presented here expand upon existing findings.