On the Boyarsky–Meyers Estimate for the Solution of the Dirichlet Problem for a Second-Order Linear Elliptic Equation with Drift

Alkhutov Y.A. Chechkin G.A.
November 2024 Springer

Journal of Mathematical Sciences (United States)
2024 #286 Issue 1 1 - 13 pp.

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.

embedding theorems , increased integrability , Meyers estimates , Zaremba problem

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Vladimir State University named after Alexander and Nikolay Stoletovs, Vladimir, Russian Federation
Lomonosov Moscow State University, Moscow, Russian Federation
Institute of Mathematics with Computing Center, Ufa Federal Research Centre, Russian Academy of Sciences, Ufa, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

Vladimir State University named after Alexander and Nikolay Stoletovs
Lomonosov Moscow State University
Institute of Mathematics with Computing Center
Institute of Mathematics and Mathematical Modeling

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