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<p>We prove the existence and uniqueness of weak solutions to a class of anisotropic elliptic equations with the coefficients of a convection term belonging to some suitable Marcinkiewicz spaces. Some useful a priori estimates and regularity results are also derived.</p>

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Existence and uniqueness of solutions to some anisotropic elliptic equations with a singular convection term

  • 期刊论文

  • 发表日期：

    2025年1月21日

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  • Giuseppina di Blasio,
  • Filomena Feo,
  • Gabriella Zecca

摘要

We prove the existence and uniqueness of weak solutions to a class of anisotropic elliptic equations with the coefficients of a convection term belonging to some suitable Marcinkiewicz spaces. Some useful a priori estimates and regularity results are also derived.