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

: Martio O., Miklyukov V., Vuorinen M.

: 2001

: Czechoslovak Mathematical Journal

: 51

: 3

: 585

: 608

: 0011-4642

: http://api.elsevier.com/content/abstract/scopus_id:27144539511

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