Ilmari Kangasniemi

activity

20172026

most citedSharp cohomological bound for uniformly quasiregularly elliptic manifolds

9 citations · 35 across the 21 of their papers we have counts for

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4 papers · 1 filter

math.AP2024

A Bourgain-Brezis-Mironescu -type characterization for Sobolev differential forms

Ilmari Kangasniemi

Given a bounded domain $Ω \subset R^{n}$ , a result by Bourgain, Brezis, and Mironescu characterizes when a function $f \in L^{p} (Ω)$ is in the Sobolev space $W^{1, p} (Ω)$ based…

math.AP2022★ 1 cited

Mappings of generalized finite distortion and continuity

Anna Doležalová, Ilmari Kangasniemi, Jani Onninen

We study continuity properties of Sobolev mappings $f \in W_{loc}^{1, n} (Ω, R^{n})$ , $n \geq 2$ , that satisfy the following generalized finite distortion inequality…

math.AP2022

Fibers of monotone maps of finite distortion

Ilmari Kangasniemi, Jani Onninen

We study topologically monotone surjective $W^{1, n}$ -maps of finite distortion $f : Ω \to Ω^{'}$ , where $Ω, Ω^{'}$ are domains in $R^{n}$ , $n \geq 2$ . If the outer distortion…

math.AP2021

Analytic characterization of monotone Hopf-harmonics

Ilmari Kangasniemi, Aleksis Koski, Jani Onninen

We study solutions of the inner-variational equation associated with the Dirichlet energy in the plane, given homeomorphic Sobolev boundary data. We prove that such a solution is m…