This article is cited in 2 papers

Real, complex and functional analysis

Mappings related to extremal functions for $p$-capacity

A. S. Romanov<sup>ab

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

Abstract: On the Euclidean plane, we consider the class of mappings, whose coordinate functions are extremal functions for $p$-capacity special type condensers.

Keywords: Sobolev spaces, capacity, extremal functions.

UDC: 517.51, 517.54

MSC: 30C65, 46E35

Received June 27, 2019, published September 27, 2019

DOI: 10.33048/semi.2019.16.090

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