57 citations · 252 across the 40 of their papers we have counts for
4 papers · 1 filter
Sobolev homeomorphic extensions from two to three dimensions
Stanislav Hencl, Aleksis Koski, Jani Onninen
We study the basic question of characterizing which boundary homeomorphisms of the unit sphere can be extended to a Sobolev homeomorphism of the interior in 3D space. While the pla…
Analytic characterization of monotone Hopf-harmonics
Ilmari Kangasniemi, Aleksis Koski, Jani Onninen
We study solutions of the inner-variational equation associated with the Dirichlet energy in the plane, given homeomorphic Sobolev boundary data. We prove that such a solution is m…
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…
On the heterogeneous distortion inequality
Ilmari Kangasniemi, Jani Onninen
We study Sobolev mappings , , that satisfy the heterogeneous distortion inequality \[\left|Df(x)\right|^n \leq K…