2 papers
math.DG2018
Rigidity of manifolds admitting stable solutions of an elliptic problem
Marcio Batista, Jose I. Santos
In this paper, we study geometric rigidity of Riemannian manifolds admitting stable solutions of certain elliptic problems (stability in a variational sense), that is, under suitab…
math.DG2015
On the first stability eigenvalue of surfaces with constant weighted mean curvature
Márcio Batista, José I. Santos
Let be a compact immersed surface with constant weighted mean curvature in a weighted manifold . In this paper we obtain upper bounds for the first eigenvalue…