2 citations · 6 across the 11 of their papers we have counts for
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Values of finite distortion: Reshetnyak's theorem, the Liouville theorem, and the Lusin (N) -property
Ilmari Kangasniemi, Jani Onninen, Yizhe Zhu
Let be a domain and . We say that has a value of finite distortion at if there exist…
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),…
Linear distortion and rescaling for quasiregular values
Ilmari Kangasniemi, Jani Onninen
Sobolev mappings exhibiting only pointwise quasiregularity-type bounds have arisen in various applications, leading to a recently developed theory of quasiregular values. In this a…
Corrigendum to "On the heterogeneous distortion inequality"
Ilmari Kangasniemi, Jani Onninen
We correct an error in [I. Kangasniemi, and J. Onninen, On the heterogeneous distortion inequality. Math. Ann. 384 (2022), no. 3-4, 1275-1308.]
Quasiregular values and Rickman's Picard theorem
Ilmari Kangasniemi, Jani Onninen
We prove a far-reaching generalization of Rickman's Picard theorem for a surprisingly large class of mappings, based on the recently developed theory of quasiregular values. Our re…
A single-point Reshetnyak's theorem
Ilmari Kangasniemi, Jani Onninen
We prove a single-value version of Reshetnyak's theorem. Namely, if a non-constant map from a domain satisfies…