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
1 of 4
- A necessary condition for Sobolev extension domains in higher dimensions (2024) García-Bravo, Miguel; et al.; A1; OA
- First-order heat content asymptotics on RCD(K,N) spaces (2024) Caputo, Emanuele; et al.; A1; OA
- On the integration of L0-Banach L0-modules and its applications to vector calculus on RCD spaces (2024) Caputo, Emanuele; et al.; A1; OA
- Sobolev, BV and perimeter extensions in metric measure spaces (2024) Caputo, Emanuele; et al.; A1; OA
- Stability of Sobolev inequalities on Riemannian manifolds with Ricci curvature lower bounds (2024) Nobili, Francesco; et al.; A1; OA
- Tensorization of p-weak differentiable structures (2024) Eriksson-Bique, Sylvester; et al.; A1; OA
- Tensorization of quasi-Hilbertian Sobolev spaces (2024) Eriksson-Bique, Sylvester; et al.; A1; OA
- Two-Sided Boundary Points of Sobolev Extension Domains on Euclidean Spaces (2024) García-Bravo, Miguel; et al.; A1; OA
- Uniform Approximation of Continuous Couplings (2024) Bindini, Ugo; et al.; A1; OA
- Weakly porous sets and Muckenhoupt Ap distance functions (2024) Anderson, Theresa C.; et al.; A1; OA
