Geodesic
On the Boyarsky–Meyers estimate for the solution of the Dirichlet problem for a second-order linear elliptic equation with drift
Contemporary Mathematics. Fundamental Directions, Functional spaces. Differential operators. Problems of mathematics education, Tome 70 (2024) no. 1, pp. 1-14
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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. 
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Yu. A. Alkhutov; G. A. Chechkin. On the Boyarsky–Meyers estimate for the solution of the Dirichlet problem for a second-order linear elliptic equation with drift. Contemporary Mathematics. Fundamental Directions, Functional spaces. Differential operators. Problems of mathematics education, Tome 70 (2024) no. 1, pp. 1-14. http://geodesic.mathdoc.fr/item/CMFD_2024_70_1_a0/

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