2 papers
math.DG2025
Serrin's type Problems in convex cones in Riemannian manifolds
Murilo Araújo, Allan Freitas, Márcio Santos +1
In this work, we discuss several results concerning Serrin's problem in convex cones in Riemannian manifolds. First, we present a rigidity result for an overdetermined problem in a…
math.DG2024
Gap results and existence of CMC free boundary hypersurfaces in rotational domains
Allan Freitas, Márcio Santos, J. Sindeaux
In this paper, we work with the existence and uniqueness of free boundary constant mean curvature hypersurfaces in rotational domains. These are domains whose boundary is generated…