Jani Onninen

collaborators

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

math.FA2025

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

Anna DoleÅ¾alovÃ¡, 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 $I ¨ \in W_{loc}^{1, n} (I^c ◯)$ , $I^c ◯ \subset R^{n}$ , that satisfy \[ \lvert\nabla Ï(x)\rvert^n \le K(x)\bigl(\langle \nabla Ï…

math.FA2025

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

Anna DoleÅ¾alovÃ¡, Stanislav Hencl, Jani Onninen

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

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…