12 citations · 17 across the 11 of their papers we have counts for
4 papers · 1 filter
Pointwise inequalities for Sobolev functions on outward cuspidal domains
Sylvester Eriksson-Bique, Pekka Koskela, Jan Maly +1
We show that the first order Sobolev spaces on cuspidal symmetric domains can be characterized via pointwise inequalities. In particular, they coincide with the Hajlasz-Sobolev spa…
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…