On the Boyarsky-Meyers estimate for the solution of the Dirichlet problem for a second-order linear elliptic equation with drift

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Abstract

We establish the increased integrability of the gradient of the solution to the Dirichlet problem for the Laplace operator with lower terms and prove the unique solvability of this problem.

About the authors

Yu. A. Alkhutov

Vladimir State University named after Alexander and Nikolay Stoletovs

Author for correspondence.
Email: yurij-alkhutov@yandex.ru
Vladimir, Russia

G. A. Chechkin

Lomonosov Moscow State University; Institute of Mathematics with Computing Center, Ufa Federal Research Centre, Russian Academy of Sciences; Institute of Mathematics and Mathematical Modeling

Email: chechkin@mech.math.msu.su
Almaty, Kazakhstan

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