activity
20082024
most citedDiffeomorphic approximation of Sobolev homeomorphisms

57 citations · 257 across the 23 of their papers we have counts for

collaborators
Showing math.APShow all

6 papers · 1 filter

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.AP2012

Let the Beauty of Harmonic Analysis be Revealed Through Nonlinear PDEs; A Work of Art in Three Sketches

Tadeusz Iwaniec

Paraphrasing Luciano Pavarotti on music, let me say: "Learning mathematics by only reading about it is like making love by e-mail."

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^…

math.AP2011

An Essay on the Interpolation Theorem of Józef Marcinkiewicz - Polish Patriot

Tadeusz Iwaniec

In memory of Polish mathematicians murdured by the Soviets and the Nazis. The total record of accomplishments of Marcinkiewicz in his short life, his talent, perceptions rich in co…

math.AP2010★ 57 cited

Diffeomorphic approximation of Sobolev homeomorphisms

Tadeusz Iwaniec, Leonid V. Kovalev, Jani Onninen

Every homeomorphism h : X -> Y between planar open sets that belongs to the Sobolev class W^{1,p}(X,Y), 1<p<\infty, can be approximated in the Sobolev norm by diffeomorphisms.