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<p>We consider the Dirichlet problem for a class of linear elliptic systems with their coefficients being singular or degenerate in one-dimensional variable over a bounded rough domain. Under assumptions that the coefficient meets the partial small weighted BMO semi-norm and the boundary of the underlying domain is a bounded Reifenberg flatness, we prove global estimates of the gradients in the weighted generalized Morrey spaces to this problem including the borderline setting.</p>

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Global Estimates in Generalized Morrey Spaces for Singular or Degenerate Elliptic Systems

  • 期刊论文

  • 发表日期：

    2026年2月19日

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  • Wenrui Chang,
  • Shenzhou Zheng

摘要

We consider the Dirichlet problem for a class of linear elliptic systems with their coefficients being singular or degenerate in one-dimensional variable over a bounded rough domain. Under assumptions that the coefficient meets the partial small weighted BMO semi-norm and the boundary of the underlying domain is a bounded Reifenberg flatness, we prove global estimates of the gradients in the weighted generalized Morrey spaces to this problem including the borderline setting.