Geodesic
Increased integrability of the gradient of the solution to the Zaremba problem for the Poisson equation
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 497 (2021), pp. 3-6.

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An estimate is obtained for the increased integrability of the gradient of the solution to the Zaremba problem in a bounded plane domain with a Lipschitz boundary and rapidly alternating Dirichlet and Neumann boundary conditions, with an increased integrability exponent independent of the frequency of the boundary condition change.
Keywords: Meyers estimates, embedding theorems, rapidly changing type of boundary conditions. 
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     title = {Increased integrability of the gradient of the solution to the {Zaremba} problem for the {Poisson} equation},
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Yu. A. Alkhutov; G. A. Chechkin. Increased integrability of the gradient of the solution to the Zaremba problem for the Poisson equation. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 497 (2021), pp. 3-6. http://geodesic.mathdoc.fr/item/DANMA_2021_497_a0/

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