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The Meyer's estimate of solutions to Zaremba problem for second-order elliptic equations in divergent form

期刊

COMPTES RENDUS MECANIQUE
卷 349, 期 2, 页码 299-304

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centre Mersenne pour ldition scientifique ouverte
DOI: 10.5802/crmeca.87

关键词

Meyers estimates; Mixed problem; Embedding theorems; Capacity; Rapidly alternating type of boundary conditions

资金

  1. RFBR [19-01-00184]
  2. RSF [20-1120272]

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This paper provides an estimate for the increased integrability of the gradient of the solution to the Zaremba problem for a divergent elliptic operator in a bounded domain with nontrivial capacity of the Dirichlet boundary conditions.
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.

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