We study regularity properties of the free boundary for the thin one-phase problem which consists of minimizing the energy functional
among all functions which are fixed on .
Cite this article
Daniela De Silva, Ovidiu Savin, Regularity of Lipschitz free boundaries for the thin one-phase problem. J. Eur. Math. Soc. 17 (2015), no. 6, pp. 1293–1326DOI 10.4171/JEMS/531