This article is cited in 1 paper

Real, complex and functional analysis

On the equivalence of domains in the theory of Sobolev spaces with variable exponents

A. S. Romanov<sup>ab

a</sup> Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
^b Novosibirsk State University, Pirogova str., 2, 630090, Novosibirsk, Russia

Abstract: In this paper we consider questions related to the equivalence of Euclidean domains from the point of view of the isomorphism of the Sobolev spaces with variable exponents.

Keywords: Sobolev spaces, variable exponents, capacity, equivalent domains.

UDC: 517.51

MSC: 46E35

Received July 25, 2018, published September 18, 2018

DOI: 10.17377/semi.2018.15.086

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