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arXiv · 2111.11479

Gradient Estimate for Solutions of Second-Order Elliptic Equations

Vladimir Maz'ya·Robert McOwen
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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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Vladimir Maz'ya, Robert McOwen. 2021-11-22. Gradient Estimate for Solutions of Second-Order Elliptic Equations. https://arxiv.org/abs/2111.11479

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