57 citations · 257 across the 23 of their papers we have counts for
29 papers
Complex Harmonic Capacitors
Tadeusz Iwaniec, Jani Onninen, Teresa Radice
The concept of complex harmonic potential in a doubly connected condenser (capacitor) is introduced as an analogue of the real-valued potential of an electrostatic vector field. In…
Energy-minimal Principles in Geometric Function Theory
Tadeusz Iwaniec, Gaven Martin, Jani Onninen
We survey a number of recent developments in geometric analysis as they pertain to the calculus of variations and extremal problems in geometric function theory following the NZMRI…
A Neohookean model of plates
Tadeusz Iwaniec, Jani Onninen, Pekka Pankka +1
This article is about hyperelastic deformations of plates (planar domains) which minimize a neohookean type energy. Particularly, we investigate a stored energy functional introduc…
The Dirichlet Principle for Inner Variations
Tadeusz Iwaniec, Jani Onninen
We are concerned with the Dirichlet energy of mappings defined on domains in the complex plane. The motivation behind our questions, however, comes from more general energy integra…
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…