4 papers · 1 filter
Serrin-type problem in divergence form on Riemannian manifolds
Márcio Batista, Márcio Santos, Antônio da Silva +1
In this paper, we investigate an overdetermined boundary value problem of divergence type on bounded domains in Riemannian manifolds with non-negative Ricci curvature. Using integr…
Rigidity of Serrin-type problems via integral identities
Jaqueline de Lima, Márcio Santos, Joyce Sindeaux
In this short note, we deal with Serrin-type problems in Riemannian manifolds. Firstly, we provide a Soap Bubble type theorem and rigidity results. In another direction, we obtain…
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…
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…