Sib. Èlektron. Mat. Izv., 2021 Volume 18, Issue 2, Pages 845–866
(Mi semr1406)
|
Real, complex and functional analysis
Properties of extremal functions for $p$-capacity in $R^2$
A. S. Romanov Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
Abstract:
We consider various properties of extremal functions for
$p$-capacity in domains of the Euclidean space
$R^2$.
Keywords:
Sobolev spaces, capacity, extremal functions.
UDC:
517.51,
517.54
MSC: 30C65,
46E35 Received May 30, 2021, published
August 3, 2021
DOI:
10.33048/semi.2021.18.064
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