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Gradient Estimate for Solutions of Second-Order Elliptic Equations

Published 22 Nov 2021 in math.AP | (2111.11479v1)

Abstract: We obtain a local estimate for the gradient of solutions to a second-order elliptic equation in divergence form with bounded measurable coefficients that are square-Dini continuous at the single point x=0. In particular, we treat the case of solutions that are not Lipschitz continuous at x=0. We show that our estimate is sharp.

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Authors (2)

  1. Vladimir Maz'ya 
  2. Robert McOwen 

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