TY - JOUR
T1 - Multiplicity and boundary behavior of quasiregular maps
AU - Rasila, Antti
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2005/7
Y1 - 2005/7
N2 - We study the boundary behavior of a bounded quasiregular mapping f: G→ ℝ n . In the main results, Lindelöf-type problems are studied in connection with the local topological index i(x,f). The existence of certain types of limits at a given boundary point b ∈ ∂G is shown. The assumptions involve local topological index of the mapping f on a given sequence of points approaching the boundary point b.
AB - We study the boundary behavior of a bounded quasiregular mapping f: G→ ℝ n . In the main results, Lindelöf-type problems are studied in connection with the local topological index i(x,f). The existence of certain types of limits at a given boundary point b ∈ ∂G is shown. The assumptions involve local topological index of the mapping f on a given sequence of points approaching the boundary point b.
UR - http://www.scopus.com/inward/record.url?scp=21244479308&partnerID=8YFLogxK
U2 - 10.1007/s00209-005-0768-y
DO - 10.1007/s00209-005-0768-y
M3 - 文章
AN - SCOPUS:21244479308
VL - 250
SP - 611
EP - 640
JO - Mathematische Zeitschrift
JF - Mathematische Zeitschrift
SN - 0025-5874
IS - 3
ER -