Ilmari Kangasniemi

activity

20192026

most citedNotes on quasiregular maps between Riemannian manifolds

1 citations · 1 across the 5 of their papers we have counts for

collaborators

10 papers

math.CV2026

Values of finite distortion: Reshetnyak's theorem, the Liouville theorem, and the Lusin (N) -property

Ilmari Kangasniemi, Jani Onninen, Yizhe Zhu

Let $Ω \subset R^{n}$ be a domain and $f \in W_{loc}^{1, n} (Ω, R^{n})$ . We say that $f$ has a value of finite distortion at $y_{0} \in R^{n}$ if there exist…

math.DG2025

Quasiregular values and cohomology

Susanna Heikkilä, Ilmari Kangasniemi

We prove that the recently shown cohomological obstruction for quasiregular ellipticity has a generalization in the theory of quasiregular values. More specifically, if $M$ is a cl…

math.CV2025

Continuity for Sobolev mappings with null Lagrangian bounds

Ilmari Kangasniemi, Jani Onninen

We prove the continuity of Sobolev functions $φ \in W_{loc}^{1, n} (Ω)$ , $Ω \subset R^{n}$ , that satisfy \[ \lvert\nabla φ(x)\rvert^n \le K(x)\bigl(\langle \nabla φ(x),…

math.MG2025

Warped products, solid hyperbolic fillings, and the identity $D^{1, p} = N^{1, p} + R$

Ilmari Kangasniemi, Josh Kline, Nageswari Shanmugalingam +1

We construct a large class of metric measure spaces $Z$ which satisfy the identity $D^{1, p} (Z) = N^{1, p} (Z) + R$ , i.e.\ any measurable function $u : Z \to R$ …

math.MG2024

On homogeneous Newton-Sobolev spaces of functions in metric measure spaces of uniformly locally controlled geometry

Ryan Gibara, Ilmari Kangasniemi, Nageswari Shanmugalingam

We study the large-scale behavior of Newton-Sobolev functions on complete, connected, proper, separable metric measure spaces equipped with a Borel measure $μ$ with $μ (X) = \infty$ …

math.AP2024

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