Geometric Analysis

Main funder

Funder's project number323960

Funds granted by main funder (€)

  • 600 000,00

Funding program

Project timetable

Project start date01/09/2019

Project end date31/08/2023


The project deals with Sobolev spaces, Sobolev mappings, regularity theory and geometry of domains. Geometric criteria for the
possibility to extend Sobolev functions defined on a given domain to the corresponding Sobolev space over the underlying Euclidean
space are investigated. Functional properties of the validity of such an extension will be established. Trace theorems and invariance
properties of function spaces under composition operators will be given. For Sobolev mappings, one studies existence, regularity and
topological properties. One further studies regularity problems for harmonic functions and other related solutions under curvature
assumptions on the underlying space.

Principal Investigator

Primary responsible unit

Related publications and other outputs

Last updated on 2024-17-04 at 12:57