3 papers
math.DG2025
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…
math.DG2025
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…
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…