Affiliation:
1. Institute of Applied Mathematics and Mechanics of NAS of Ukraine, Sloviansk, Ukraine
Abstract
We study the main features of homeomorphisms between two Finsler manifolds satisfying the
Rohde condition, i.e. the difference between the moduli of geodesic rings in the image and
its preimage is uniformly bounded from below and above. Some equivalent conditions for such
a characterization are established. Also we investigate the absolute continuity and the relations
to the class of mappings with finite are distortion. As applications, the boundary correspondence
results for homeomorphisms satisfying the Rohde condition between regular domains are also presented.
Publisher
Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine