5 citations · 13 across the 12 of their papers we have counts for
Showing 2015 · math.DGShow all
3 papers · 2 filters
math.DG2015★ 2 cited
The Caffarelli-Kohn-Nirenberg Inequality for Submanifolds in Riemannian Manifolds
Márcio Batista, Heudson Mirandola, Feliciano Vitório
After works by Michael and Simon [10], Hoffman and Spruck [9], and White [14], the celebrated Sobolev inequality could be extended to submanifolds in a huge class of Riemannian man…
math.DG2015★ 3 cited
The first Stekloff eigenvalue in weighted Riemannian manifolds
M. Batista, J. I. Santos
In study of eigenvalue problems, a classical problem is the Stekloff eigenvalue problem. There are many estimates of the first non- zero Stekloff eigenvalue, including a sharp esti…
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…