Geodesic
Estimates for the energy integral of quasiregular mappings on Riemannian manifolds and isoperimetry
Czechoslovak Mathematical Journal, Tome 51 (2001) no. 3, pp. 585-608

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The rate of growth of the energy integral of a quasiregular mapping $f\:\mathcal X\rightarrow \mathcal Y$ is estimated in terms of a special isoperimetric condition on $\mathcal Y$. The estimate leads to new Phragmén-Lindelöf type theorems.
Classification : 30C65, 35J60
Keywords: Phragmén-Lindelöf type theorems; quasiregular mappings; isoperimetry 
@article{CMJ_2001__51_3_a10,
     author = {Martio, O. and Miklyukov, V. and Vuorinen, M.},
     title = {Estimates for the energy integral of quasiregular mappings on {Riemannian} manifolds and isoperimetry},
     journal = {Czechoslovak Mathematical Journal},
     pages = {585--608},
     publisher = {mathdoc},
     volume = {51},
     number = {3},
     year = {2001},
     mrnumber = {1851549},
     zbl = {1079.30508},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2001__51_3_a10/}
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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, Tome 51 (2001) no. 3, pp. 585-608. http://geodesic.mathdoc.fr/item/CMJ_2001__51_3_a10/