Antti Rasila (University of Helsinki)
On multiplicity and boundary behavior of quasiregular mappings
Abstract.
We study the boundary behavior of a bounded quasiregular mapping
in $n$-dimensional Euclidean space $\mathbb{R}^n$. Lindel\"of-type
problems are studied in connection with the local topological
index $i(x,f)$. Conditions for the existence of certain types of
limits at a given boundary point $b$ are shown.
The function is assumed to have a limit along the given sequence points
approaching the boundary point $b$ and the topological
indices are required to grow to infinity at sufficient rate.
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