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<p>This paper deals with a class of <i>p</i>(<i>x</i>)-Choquard-type problem involving <i>p</i>(<i>x</i>)-biharmonic operator with variable exponents. Using variational methods, a Hardy–Littlewood-Sobolev-type inequality for variable exponents and a version of the concentration-compactness principle, we prove the existence of at least one nontrivial solution and infinitely many solutions for the given problem in an appropriate function spaces.</p>

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Navier problems involving p(x)-biharmonic operators with Choquard term

  • 期刊论文

  • 发表日期：

    2025年5月30日

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  • Mostafa Allaoui

摘要

This paper deals with a class of p(x)-Choquard-type problem involving p(x)-biharmonic operator with variable exponents. Using variational methods, a Hardy–Littlewood-Sobolev-type inequality for variable exponents and a version of the concentration-compactness principle, we prove the existence of at least one nontrivial solution and infinitely many solutions for the given problem in an appropriate function spaces.