Geodesic
Higher integrability of the gradient for the thermal insulation problem
Camille Labourie1 ; Emmanouil Milakis1
1University of Cyprus, Nicosia, Cyprus
Interfaces and free boundaries, Tome 25 (2023) no. 2, pp. 193-216

Voir la notice de l'article provenant de la source EMS Press

DOI

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.
DOI : 10.4171/ifb/481
Classification : 35-XX, 49-XX
Mots-clés : Thermal insulation, higher integrability, free boundary problems

Camille Labourie  1   ; Emmanouil Milakis  1

1 University of Cyprus, Nicosia, Cyprus 
Camille Labourie; Emmanouil Milakis. Higher integrability of the gradient for the thermal insulation problem. Interfaces and free boundaries, Tome 25 (2023) no. 2, pp. 193-216. doi: 10.4171/ifb/481
@article{10_4171_ifb_481,
     author = {Camille Labourie and Emmanouil Milakis},
     title = {Higher integrability of the gradient for the thermal insulation problem},
     journal = {Interfaces and free boundaries},
     pages = {193--216},
     year = {2023},
     volume = {25},
     number = {2},
     doi = {10.4171/ifb/481},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/481/}
}
TY  - JOUR
AU  - Camille Labourie
AU  - Emmanouil Milakis
TI  - Higher integrability of the gradient for the thermal insulation problem
JO  - Interfaces and free boundaries
PY  - 2023
SP  - 193
EP  - 216
VL  - 25
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ifb/481/
DO  - 10.4171/ifb/481
ID  - 10_4171_ifb_481
ER  - 
%0 Journal Article
%A Camille Labourie
%A Emmanouil Milakis
%T Higher integrability of the gradient for the thermal insulation problem
%J Interfaces and free boundaries
%D 2023
%P 193-216
%V 25
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4171/ifb/481/
%R 10.4171/ifb/481
%F 10_4171_ifb_481

Cité par Sources :