Existence and regularity of monotone solutions to a free boundary problem

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/121961We investigate existence and regularity properties of one-phase free boundary graphs, in connection with the question of whether there exists a complete non-planar free boundary graph in high dimensions.22 pagesAnalysis of PDEs35B65Existence and regularity of monotone solutions to a free boundary problemtext