2026-09-21T23:26:32Zhttps://iris.unitn.it/oai/requestoai:iris.unitn.it:11572/4379342024-12-05T00:13:27Zcom_11572_237821com_11572_101871col_11572_237822ou_ou00004
New and old sub-Riemannian challenges bridging analysis and geometry
Verzellesi, Simone
Verzellesi, Simone
Pinamonti, Andrea
sub-Riemannian geometry, Heisenberg group, minimal surfaces, viscosity solutions, integral representation, Bernstein problem, prescribed mean curvature.
Settore MAT/05 - Analisi Matematica
Settore MATH-03/A - Analisi matematica
The aim of this thesis is to propose a systematic exposition of some analytic and geometric problems arising from the study of sub-Riemannian geometry, Carnot-Carathéodory spaces and, more broadly, anisotropic metric and differential structures.
We deal with four main topics.
1 Calculus of variations for local functionals depending on vector fields
2 PDEs over Carnot-Carathéodory structures.
3 Regularity theory for almost perimeter minimizers in Carnot groups.
4 Geometry of hypersurfaces in Heisenberg groups.
2024-11-15
info:eu-repo/semantics/doctoralThesis
https://hdl.handle.net/11572/437934
http://dx.doi.org/10.15168/11572_437934
10.15168/11572_437934
eng
firstpage:1
lastpage:394
numberofpages:394
info:eu-repo/semantics/openAccess
Università degli studi di Trento
place:TRENTO
license:Creative commons
license uri:http://creativecommons.org/licenses/by-nc-sa/4.0/