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<p>We establish sharp local <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(C^{1,\alpha }-\)</EquationSource> </InlineEquation>regularity for weak solutions to degenerate elliptic equations of <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(p-\)</EquationSource> </InlineEquation>Laplacian type with data in Morrey spaces. The proof relies on the Fefferman–Phong inequality and standard tools from regularity theory for nonlinear PDEs.</p>

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Higher Hölder regularity for degenerate elliptic PDEs with data in Morrey spaces

  • 期刊论文

  • 发表日期：

    2025年11月15日

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  • Giuseppe Di Fazio,
  • Rafayel Teymurazyan,
  • José Miguel Urbano

摘要

We establish sharp local \(C^{1,\alpha }-\) regularity for weak solutions to degenerate elliptic equations of \(p-\) Laplacian type with data in Morrey spaces. The proof relies on the Fefferman–Phong inequality and standard tools from regularity theory for nonlinear PDEs.