Geometric Aspects of Sobolev Space Theory (GeoSobo)
Main funder
Funder's project number: 314789
Funds granted by main funder (€)
- 600 000,00
Funding program
Project timetable
Project start date: 01/09/2018
Project end date: 31/08/2022
Summary
The purpose of the project is to find new connections of Sobolev spaces theory with geometry and regularity in Euclidean spaces and in more general metric measure spaces. We study curvature, regularity of harmonic functions, differentiability of Lipschitz maps, removable sets and extension domains.
Principal Investigator
Primary responsible unit
Related publications and other outputs
- Strong BV-extension and W1,1-extension domains (2022) García-Bravo, Miguel; et al.; A1; OA
- Testing the Sobolev property with a single test plan (2022) Pasqualetto, Enrico; A1; OA
- A density result on Orlicz-Sobolev spaces in the plane (2021) Ortiz, Walter A.; et al.; A1; OA
- Approximation by uniform domains in doubling quasiconvex metric spaces (2021) Rajala, Tapio; A1; OA
- Characterisation of upper gradients on the weighted Euclidean space and applications (2021) Lučić, Danka; et al.; A1; OA
- On one-dimensionality of metric measure spaces (2021) Schultz, Timo; A1; OA
- A short proof of the infinitesimal Hilbertianity of the weighted Euclidean space (2020) Di Marino, Simone; et al.; A1; OA
- Indecomposable sets of finite perimeter in doubling metric measure spaces (2020) Bonicatto, Paolo; et al.; A1; OA
- Multi-marginal entropy-transport with repulsive cost (2020) Gerolin, Augusto; et al.; A1; OA
- Sharp estimate on the inner distance in planar domains (2020) Lučić, Danka; et al.; A1; OA