A potential Theoretic Approach to Twisting
Nicola Arcozzi, Enrico Casadio Tarabusi, Fausto Di Biase, Massimo A. Picardello · Cineca Institutional Research Information System (Tor Vergata University) · 2005
This paper introduces a geometric, potential theoretic approach to the study of twist point in the boundary of a planar domain. It introduces a map h from a domain D to harmonic functions such that, when z tends to a boundary point w, the limit behaviour of h determines if w is a twist point or is sectorially accessible. The construction is based only on potential-theoretic methods and does not use the Riemann mapping theorem.