M. A. Perelmuter

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math.AP2026

A short note on Meyers' theorem

M. A. Perelmuter

We consider weak solutions of the second-order elliptic equation $div (M \nabla u) = div F$ in $Ω \subset R^{d}$ with Dirichlet…

math.AP2024

Second order regularity of solutions of elliptic equations in divergence form with Sobolev coefficients

M. A. Perelmuter

We give $L^{p}$ estimates for the second derivatives of weak solutions to the Dirichlet problem for equation $\Div(\mathbf{A}\nabla u) = f$ in $I^c ◯ \subset R^{d}$ with Sobolev c…