Abstract
We study the boundary behavior of bounded quasiregular mappings $f: B^n(0,1)\to \rn$, $n \geq 3$. We show that there exists a large family of cusps, with vertices on the boundary sphere $S^{n-1}(0,1)$, so that the images of these cusps under $f$ have finite $(n-1)$-measure.
Citation
Kai Rajala. "Surface families and boundary behavior of quasiregular mappings." Illinois J. Math. 49 (4) 1145 - 1153, Winter 2005. https://doi.org/10.1215/ijm/1258138131
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