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math.AP2021
Gradient Estimate for Solutions of Second-Order Elliptic Equations
Vladimir Maz'ya, Robert McOwen
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…
math.AP2021
Gilbarg-Serrin Equation and Lipschitz Regularity
Vladimir Maz'ya, Robert McOwen
We discuss conditions for Lipschitz and C^1 regularity for a uniformly elliptic equation in divergence form with coefficients that were introduced by Gilbarg & Serrin. In particula…
math.AP2021★ 1 cited
Perfect fluid flows on with growth/decay conditions at infinity
Robert McOwen, Peter Topalov
We study the well-posedness and the spatial behavior at infinity of perfect fluid flows on with initial data in a scale of weighted Sobolev spaces that allow spatial growth/…