Displaying similar documents to “Mappings of finite distortion: Global homeomorphism theorem.”

On Q -homeomorphisms.

Martio, O., Ryazanov, V., Srebo, U., Yakubov, E. (2005)

Annales Academiae Scientiarum Fennicae. Mathematica


On local injectivity and asymptotic linearity of quasiregular mappings

V. Gutlyanskiĭ, O. Martio, V. Ryazanov, M. Vuorinen (1998)

Studia Mathematica


It is shown that the approximate continuity of the dilatation matrix of a quasiregular mapping f at x 0 implies the local injectivity and the asymptotic linearity of f at x 0 . Sufficient conditions for l o g | f ( x ) - f ( x 0 ) | to behave asymptotically as l o g | x - x 0 | are given. Some global injectivity results are derived.