57 citations · 257 across the 23 of their papers we have counts for
17 papers · 1 filter
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…
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…
Monotone Hopf-Harmonics
Tadeusz Iwaniec, Jani Onninen
The present paper introduces the concept of monotone Hopf-harmonics in as an alternative to harmonic homeomorphisms. It opens a new area of study in Geometric Function Theory…
Monotone Sobolev Mappings of planar domains and surfaces
Tadeusz Iwaniec, Jani Onninen
An approximation theorem of Youngs (1948) asserts that a continuous map between compact oriented topological 2-manifolds (surfaces) is monotone if and only if it is a uniform limit…
A hunt for sharp -estimates and rank-one convex variational integrals
Kari Astala, Tadeusz Iwaniec, István Prause +1
Learning how to figure out sharp -estimates of nonlinear differential expressions, to prove and use them, is a fundamental part of the development of PDEs and Geometric Functi…