A. S. Romanov, “Extremality of $p$-harmonic functions in $R^2$”, Sib. Èlektron. Mat. Izv., 2021, Volume 18, Issue 2,Pages 1015

Real, complex and functional analysis

Extremality of $p$-harmonic functions in $R^2$

A. S. Romanov

Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia

Abstract: We consider the question of the relationship between $p$-harmonic functions and extremal functions for p-capacity in $R^2.$

Keywords: Sobolev spaces, $p$-harmonic functions, capacity, extremal functions.

UDC: 517.51, 517.54

MSC: 30C65, 46E35

Received June 17, 2021, published September 29, 2021

DOI: 10.33048/semi.2021.18.076