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20082026
most citedDiffeomorphic approximation of Sobolev homeomorphisms

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

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3 papers · 1 filter

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 -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 , , 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…