Sharp constant in Riemannian L^p-Gagliardo-Nirenberg inequalities

Jurandir Ceccon, Carlos Duran

Let (M,g) be a smooth compact Riemannian manifold of dimension n \geq 2, 1 < p < n and 1 \leq q < r < p^\ast = \frac{np}{n-p} be real parameters. This paper concerns to the validit…