Abstract
The rate of growth of the energy integral of a quasiregular mapping \(f:\mathcal{X} \to \mathcal{Y}\) is estimated in terms of a special isoperimetric condition on \(\mathcal{Y}\). The estimate leads to new Phragmen-Lindelof type theorems.
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Martio, O., Miklyukov, V. & Vuorinen, M. Estimates for the Energy Integral of Quasiregular Mappings on Riemannian Manifolds and Isoperimetry. Czechoslovak Mathematical Journal 51, 585–608 (2001). https://doi.org/10.1023/A:1013788107061
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DOI: https://doi.org/10.1023/A:1013788107061