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A sufficient condition providing Hölder’s continuity for the regular solutions of Sobolev class \(W^{1,1}_{\mathrm {loc}}\) to a nonlinear Beltrami equation is established.

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On Local Hölder and Lipschitz Continuities of Solutions to Nonlinear Beltrami Equation

  • 会议论文

  • 发表日期：

    2025年

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  • Igor Petkov,
  • Ruslan Salimov,
  • Mariia Stefanchuk

摘要

A sufficient condition providing Hölder’s continuity for the regular solutions of Sobolev class \(W^{1,1}_{\mathrm {loc}}\) to a nonlinear Beltrami equation is established.