Maximal subextension and stability on $m$-capacity of maximal subextension of $m$-subharmonic functions with given boundary values

Abstract

In this paper, we study maximal subextension of $m$-subharmonic functions with given boundary values. We also prove stability on $m$-capacity of maximal subextension of $m$-subharmonic functions with given boundary values.

23 pages, accepted to Mathematica Slovaca with small revisions