A. S. Romanov, “A remark on the properties of nonlinear capacity in <nobr>$\mathbb R^3$</nobr>”, Sibirsk. Mat. Zh., 2012, Volume 53, Number 4,Pages <nobr>911

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A remark on the properties of nonlinear capacity in $\mathbb R^3$

A. S. Romanov^ab

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^b Novosibirsk State University, Novosibirsk

Abstract: We consider some relation between the capacities of the three pairs of facets of a $3$-dimensional curvilinear hexahedron.

Keywords: Sobolev space, capacity, modulus of a family of surfaces.

UDC: 517.51

Received: 11.07.2011