On local injectivity and asymptotic linearity of quasiregular mappings

: Gutlyanskiǐ V., Martio O., Ryazanov V., Vuorinen M.

: 1998

: Studia Mathematica

: 128

: 3

: 243

: 271

: 0039-3223

: http://api.elsevier.com/content/abstract/scopus_id:0032413318

It is shown that the approximate continuity of the dilatation matrix of a quasiregular mapping f at x implies the local injectivity and the asymptotic linearity of f at x. Sufficient conditions for log|f(x) - f(x)| to behave asymptotically as log|x - x| are given. Some global injectivity results are derived.