Jani Onninen

activity

20082026

most citedDiffeomorphic approximation of Sobolev homeomorphisms

57 citations · 252 across the 40 of their papers we have counts for

collaborators

50 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.FA2025

Global Integrability of the Reciprocal of Jacobians for Homeomorphisms of Finite Distortion

Anna Doležalová, Jani Onninen, Yizhe Zhu +1

For a homeomorphism with $p$ -integrable distortion, we obtain the optimal global degree of integrability for the reciprocal of its Jacobian determinant. As an application, we stren…

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.CV2025

Characterizing Sobolev Homeomorphic Extensions via Internal Distances

Aleksis Koski, Jani Onninen, Haiqing Xu

We give a full characterization of embeddings of the unit circle that admit a Sobolev homeomorphic extension to the unit disk. As a direct corollary, we establish that for quasicon…

math.FA2024

$(I N V)$ condition and regularity of the inverse

Anna Doležalová, Stanislav Hencl, Jani Onninen

Let $f : Ω \to Ω^{'}$ be a Sobolev mapping of finite distortion between planar domains $Ω$ and $Ω^{'}$ , satisfying the $(I N V)$ condition and coinciding with a homeomorphism near $\p…

math.CV2024

Complex Harmonic Capacitors

Tadeusz Iwaniec, Jani Onninen, Teresa Radice

The concept of complex harmonic potential in a doubly connected condenser (capacitor) is introduced as an analogue of the real-valued potential of an electrostatic vector field. In…