The Boyarsky–Meyers Estimate for Second Order Elliptic Equations in Divergence Form. Two Spatial Examples

Chechkin G.A. Chechkina T.P.
December 2022 Springer

Journal of Mathematical Sciences (United States)
2022 #268 Issue 4 523 - 534 pp.

We construct two examples of domains where the improved integrability of the gradient of a solution to the Zaremba problem for a second order elliptic operator can be estimated.

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Lomonosov Moscow State University, Moscow, 119991, Russian Federation
Institute of Mathematics with Computing Center, 112, Chernyshevskogo St., Ufa, 450008, Russian Federation
Institute of Mathematics and Mathematical Modeling MES RK, 125, Pushkina St., Almaty, 050010, Kazakhstan
National Nuclear Research University“MEPhI”, 31. Kashirskoe sh., Moscow, 115409, Russian Federation

Lomonosov Moscow State University
Institute of Mathematics with Computing Center
Institute of Mathematics and Mathematical Modeling MES RK
National Nuclear Research University“MEPhI”

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