Weakly regular homeomorphisms
Main funder
Funder's project number: 322441
Funds granted by main funder (€)
- 235 305,00
Funding program
Project timetable
Project start date: 01/09/2019
Project end date: 31/12/2022
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.
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
Related publications and other outputs
- Classification of strict limits of planar BV homeomorphisms (2023) Campbell, Daniel; et al.; A1; OA
- On proper branched coverings and a question of Vuorinen (2022) Kauranen, Aapo; et al.; A1; OA
- Mappings of Finite Distortion : Compactness of the Branch Set (2021) Kauranen, Aapo; et al.; A1; OA
- On BLD-mappings with small distortion (2021) Kauranen, Aapo; et al.; A1; OA
