Weakly regular homeomorphisms


Main funder


Funds granted by main funder (€)

235 305,00


Funding program

Postdoctoral Researcher, AoF (Academy of Finland)


Project timetable

Project start date: 01/09/2019

Project end date: 31/08/2022


Summary

In this project we investigate the properties of homeomorphisms with weak regularity properties in the plane and higher dimensions.
Recently I together with my collaborators found optimal condition for the regularity of inverse of a BV or Sobolev homeomorphism in
dimension three. I aim to investigate further this condition and establish its connections to theory of currents and nonlinear elasticity.
Other main goal is to find a the corresponding optimal condition in all higher dimensions.
In the plane the goal is to extend recent results on the diffeomorphic approximation and find a characterization for the mappings that are
strict limits of planar BV homeomorphisms. This extends my results with my collaborators as well as recent results of De Philippis and
Pratelli.


Principal Investigator


Primary responsible unit


Last updated on 2019-21-10 at 15:39