57 citations · 257 across the 23 of their papers we have counts for
5 papers · 1 filter
Singularities In L p-quasidisks
Tadeusz Iwaniec, Jani Onninen, Zheng Zhu
We study planar domains with exemplary boundary singularities of the form of cusps. A natural question is how much elastic energy is needed to flatten these cusps; that is, to remo…
Creating and Flattening Cusp Singularities by Deformations of Bi-conformal Energy
Tadeusz Iwaniec, Jani Onninen, Zheng Zhu
Mappingsofbi-conformalenergyformthewidestclass of homeomorphisms that one can hope to build a viable extension of Geometric Function Theory with connections to mathematical models…
Deformations of Bi-conformal Energy and a new Characterization of Quasiconformality
Tadeusz Iwaniec, Jani Onninen, Zheng Zhu
The concept of hyperelastic deformations of bi-conformal energy is developed as an extension of quasiconformality. These are homeomorphisms between domains $ X, Y \subs…
Burkholder integrals, Morrey's problem and quasiconformal mappings
Kari Astala, Tadeusz Iwaniec, István Prause +1
Inspired by Morrey's Problem (on rank-one convex functionals) and the Burkholder integrals (of his martingale theory) we find that the Burkholder functionals , , are…
Dynamics of quasiconformal fields
Tadeusz Iwaniec, Leonid V. Kovalev, Jani Onninen
A uniqueness theorem is established for autonomous systems of ODEs, , where is a Sobolev vector field with additional geometric structure, such as delta-monoticit…