2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111638We show that for any dimension t>2(1+alpha K)/(1+K) there exists a compact set E of dimension t and a function alpha-Holder continuous on the plane, which is K-quasiregular only outside of E. To do this, we construct an explicit K-quasiconformal mapping that gives, by one side, extremal dimension distortion on a Cantor-type set, and by the other, more Holder continuity than the usual 1/K.17 pages, 3 figuresAnalysis of PDEs30C60, 35J15, 35J70text