4.0 Article

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

Journal

COMPTES RENDUS MECANIQUE
Volume 349, Issue 2, Pages 299-304

Publisher

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

Keywords

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

Categories

Funding

  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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