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math.DG2007
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.…
math.DG2007
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…