Higher integrability of the gradient for the Thermal Insulation problem

Autor:	Labourie, Camille, Milakis, Emmanouil
Rok vydání:	2021
Předmět:	Mathematics - Analysis of PDEs 35R35 35J20 49N60 49Q20
Druh dokumentu:	Working Paper
Popis:	We prove the higher integrability of the gradient for 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 $n-1$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2101.09692 Zobrazit plný text záznamu View this record from Arxiv