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This article is cited in 1 scientific paper (total in 1 paper)
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.
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
Linking options:
https://www.mathnet.ru/eng/semr971 https://www.mathnet.ru/eng/semr/v15/p1024
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