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Multiplicity and boundary behavior of quasiregular maps

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Abstract

We study the boundary behavior of a bounded quasiregular mapping f: G→ℝn. 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.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, FIN-00014, Finland

    Antti Rasila

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  1. Antti Rasila
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Correspondence to Antti Rasila.

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The author was supported by the foundation Vilho, Yrjö ja Kalle Väisälän rahasto.

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Rasila, A. Multiplicity and boundary behavior of quasiregular maps. Math. Z. 250, 611–640 (2005). https://doi.org/10.1007/s00209-005-0768-y

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