activity
20082026
most citedDiffeomorphic approximation of Sobolev homeomorphisms

57 citations · 252 across the 40 of their papers we have counts for

collaborators
Showing math.APShow all

7 papers · 1 filter

math.AP2022★ 1 cited

Mappings of generalized finite distortion and continuity

Anna Doležalová, Ilmari Kangasniemi, Jani Onninen

We study continuity properties of Sobolev mappings , , that satisfy the following generalized finite distortion inequality…

math.AP2022

Fibers of monotone maps of finite distortion

Ilmari Kangasniemi, Jani Onninen

We study topologically monotone surjective -maps of finite distortion , where are domains in , . If the outer distortion…

math.AP2021

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…

math.AP2020

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…

math.AP2011★ 18 cited

Lipschitz regularity for inner-variational equations

Tadeusz Iwaniec, Leonid V. Kovalev, Jani Onninen

We obtain Lipschitz regularity results for a fairly general class of nonlinear first-order PDEs. These equations arise from the inner variation of certain energy integrals. Even in…

math.AP2011★ 18 cited

n-Harmonic mappings between annuli

Tadeusz Iwaniec, Jani Onninen

The central theme of this paper is the variational analysis of homeomorphisms $h\colon \mathbb X \onto \mathbb Y$ between two given domains $\mathbb X, \mathbb Y \subset \mathbb R^…