On the Boyarsky–Meyers estimate for the solution of the Dirichlet problem for a second-order linear elliptic equation with drift Yu. A. Alkhutov a ,
G. A. Chechkin bcd a Vladimir State University named after Alexander and Nikolay Stoletovs, Vladimir, Russia b Lomonosov Moscow State University, Moscow, Russia c Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan d Institute of Mathematics with Computing Center, Ufa Federal Research Centre, Russian Academy
of Sciences, Ufa, Russia 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.
Keywords:
Zaremba problem, Meyers estimates, embedding theorems, increased integrability.
UDC:
517.954
DOI:
10.22363/2413-3639-2024-70-1-1-14
© , 2025
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