2 citations · 4 across the 9 of their papers we have counts for
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On the Dirichlet Problem Generated by the Maz'ya--Sobolev Inequality
Alexander I. Nazarov
We discuss the attainability of sharp constants for the Maz'ya--Sobolev inequalities in wedges, "perturbed" wedges and bounded domains.
A centennial of the Zaremba--Hopf--Oleinik Lemma
Alexander I. Nazarov
We discuss the problem how "bad" may be lower-order coefficients in elliptic and parabolic second order equations to ensure the Hopf--Oleinik Lemma for solutions to hold true. We a…
The Harnack inequality and related properties for solutions to elliptic and parabolic equations with divergence-free lower-order coefficients
Alexander I. Nazarov, Nina N. Ural'tseva
We discuss the problem how "bad" may be lower-order coefficients in elliptic and parabolic second order equations to ensure some qualitative properties of solution such as strong m…
The Dirichlet Problem for Non-divergence Parabolic Equations with Discontinuous in Time Coefficients
V. A. Kozlov, A. I. Nazarov
We establish pointwise estimates for the Green function to the Dirichlet problem for parabolic equation with coefficients measurable in time variable. Using these estimate we obtai…