51 citations · 99 across the 14 of their papers we have counts for
3 papers · 1 filter
The k-Yamabe problem on CR manifolds
Ezequiel Barbosa, Luiz Gustavo Carneiro, Marcos Montenegro
We introduce the notion of pseudohermitian k-curvature, which is a natural extension of the Webster scalar curvature, on an orientable manifold endowed with a strictly pseudoconvex…
Optimal L^p-Riemannian Gagliardo-Nirenberg inequalities
Jurandir Ceccon, Marcos Montenegro
Let (M,g) be a compact Riemannian manifold of dimension n \geq 2. In this work we prove the validity of the optimal L^p-Riemannian Gagliardo-Nirenberg inequality for 1 < p \leq 2.…
On the geometric dependence of Riemannian Sobolev best constants
Ezequiel R. Barbosa, Marcos Montenegro
We concerns here with the continuity on the geometry of the second Riemannian L^p-Sobolev best constant B_0(p,g) associated to the AB program. Precisely, for 1 <= p <= 2, we prove…