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math.AP2013★ 5 cited
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…
math.AP2013
Sharp L^p-entropy inequalities on manifolds
Jurandir Ceccon, Marcos Montenegro
\small{In 2004, Del Pino and Dolbeault \cite{DPDo} and Gentil \cite{G} investigated, independently, best constants and extremals associated to sharp Euclidean -entropy inequal…