TheMeyers estimate of solutions to Zaremba problem for second-order elliptic equations in divergent form
Lestimation deMeyer pour les solutions au problème de Zaremba pour les équations elliptiques du second ordre sous forme divergente
Alkhutov Y.A. Chechkin G.A.
2021Academie des sciences
Comptes Rendus - Mecanique
2021#349Issue 2299 - 304 pp.
In this paper we obtain an estimate for the increased integrability of the gradient of the solution to the Zaremba problem for divergent elliptic operator in a bounded domain with nontrivial capacity of the Dirichlet boundary conditions.
Capacity , Embedding theorems , Meyers estimates , Mixed problem , Rapidly alternating type of boundary conditions
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A.G. and N.G. Stoletov Vladimir State University, Gorkogo St., 87, Vladimir, 600000, Russian Federation
M.V. LomonosovMoscow State University, Leninskie Gory, 1, Moscow, 119991, Russian Federation
Institute of Mathematics with Computing Center, Subdivision of the Ufa Federal Research Center of Russian Academy of Science, Chernyshevskogo st., 112, Ufa, 450008, Russian Federation
Institute OfMathematics AndMathematicalModeling, Pushkin st. 125, Almaty, 050010, Kazakhstan
A.G. and N.G. Stoletov Vladimir State University
M.V. LomonosovMoscow State University
Institute of Mathematics with Computing Center
Institute OfMathematics AndMathematicalModeling
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