Existence of Nonradial Domains for Overdetermined and Isoperimetric Problems in Nonconvex Cones
Existence of Nonradial Domains for Overdetermined and Isoperimetric Problems in Nonconvex Cones
In this work we address the question of the existence of nonradial domains inside a nonconvex cone for which a mixed boundary overdetermined problem admits a solution. Our approach is variational, and consists in proving the existence of nonradial minimizers, under a volume constraint, of the associated torsional energy functional. …