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Sib. Èlektron. Mat. Izv., 2018, Volume 15, Pages 1024–1039 (Mi semr971)  

Real, complex and functional analysis

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

A. S. Romanovab

a 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.

Funding Agency Grant Number
Russian Academy of Sciences - Federal Agency for Scientific Organizations I.1.2., проект № 0314-2016-0007
Russian Foundation for Basic Research 17-01-00801


DOI: https://doi.org/10.17377/semi.2018.15.086

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Bibliographic databases:

Document Type: Article
UDC: 517.51
MSC: 46E35
Received July 25, 2018, published September 18, 2018

Citation: A. S. Romanov, “On the equivalence of domains in the theory of Sobolev spaces with variable exponents”, Sib. Èlektron. Mat. Izv., 15 (2018), 1024–1039

Citation in format AMSBIB
\Bibitem{Rom18}
\by A.~S.~Romanov
\paper On the equivalence of domains in the theory of
Sobolev spaces with variable exponents
\jour Sib. \`Elektron. Mat. Izv.
\yr 2018
\vol 15
\pages 1024--1039
\mathnet{http://mi.mathnet.ru/semr971}
\crossref{https://doi.org/10.17377/semi.2018.15.086}


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