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Estimates for the energy integral of quasiregular mappings on Riemannian manifolds and isoperimetry

Olli Martio; V. Miklyukov; M. Vuorinen — 2001

Czechoslovak Mathematical Journal

The rate of growth of the energy integral of a quasiregular mapping $f 𝒳 \to 𝒴$ is estimated in terms of a special isoperimetric condition on $𝒴$ . The estimate leads to new Phragmén-Lindelöf type theorems.

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