Ville Tengvall

activity

20172022

collaborators

5 papers

math.CV2022

A self-contained proof to Martio's conjecture in the class of BLD-maps

Ville Tengvall

We provide a self-contained proof to so-called Martio's conjecture in the class of mappings of bounded length distortion. Unlike the earlier proofs, our proof is not based on the m…

math.CV2020

Remarks on Martio's conjecture

Ville Tengvall

We introduce a certain integrability condition for the reciprocal of the Jacobian determinant which guarantees the local homeomorphism property of quasiregular mappings with a smal…

math.MG2019

On BLD-mappings with small distortion

Aapo Kauranen, Rami Luisto, Ville Tengvall

We show that every $L$ -BLD-mapping in a domain of $R^{n}$ is a local homeomorphism if $L < 2$ or $K_{I} (f) < 2$ . These bounds are sharp as shown by a winding map.

math.CV2019

On proper branched coverings and a question of Vuorinen

Aapo Kauranen, Rami Luisto, Ville Tengvall

We study global injectivity of proper branched coverings defined on the Euclidean $n$ -ball in the case when the branch set is compact. In particular we show that such mappings are…

math.CV2017

Mappings of finite distortion: compactness of the branch set

Aapo Kauranen, Rami Luisto, Ville Tengvall

We show that an entire branched cover of finite distortion cannot have a compact branch set if its distortion satisfies a certain asymptotic growth condition. We furthermore show t…