3 papers
math.DG2026
Torsional Rigidity and Spherical Deficit for a Dirichlet Problem on Riemannian Manifolds
Maria Andrade, Allan Freitas
In this work, we study several inequalities related to a Dirichlet problem on Riemannian manifolds whose Ricci curvature is bounded from below. First, we establish inequalities inv…
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
Rigidity results for Serrin's overdetermined problems in Riemannian manifolds
Maria Andrade, Allan Freitas, Diego A. MarÃn
In this work, we are interested in studying Serrin's overdetermined problems in Riemannian manifolds. For manifolds endowed with a conformal vector field, we prove a Pohozoaev-type…