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.AP2025
Overdetermined elliptic problems on model Riemannian manifolds
João Marcos do Ó, Jaqueline de Lima, Márcio Santos
We establish a rigidity theorem for annular sector-like domains in the setting of overdetermined elliptic problems on model Riemannian manifolds. Specifically, if such a domain adm…
math.DG2024
Perelman singular manifolds
Márcio Batista, Allan Freitas, Márcio Santos
On a Riemannian manifold with a smooth function , we consider the linearization of the Perelman scalar curvature and its -formal adjoint oper…