GEMETHNES erc

Higher integrability for minimizers of the Mumford-Shah functional

De Philippis Guido - Figalli Alessio

accepted
year: 2013
journal: Arch. Ration. Mech. Anal.
abstract: We prove higher integrability for the gradient of local minimizers of the Mumford-Shah energy functional, providing a positive answer to a conjecture of De Giorgi.

The paper is available on the cvgmt preprint server.