Higher Integrability of the gradient for the Thermal Insulation Problem
Ημερομηνία
2023Εκδότης
EMS PressSource
Interfaces Free BoundariesVolume
25Issue
2Pages
193-216Google Scholar check
Metadata
Εμφάνιση πλήρους εγγραφήςΕπιτομή
We prove the higher integrability of the gradient for local minimizers of the thermal
insulation problem: an analogue of De Giorgi’s conjecture for the Mumford–Shah functional. We
deduce that the singular part of the free boundary has Hausdorff dimension strictly less than n 1