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math.OC2023
On the sharp Makai inequality
Francesca Prinari, Anna Chiara Zagati
On a convex bounded open set, we prove that Poincaré-Sobolev constants for functions vanishing at the boundary can be bounded from below in terms of the norm of the distance functi…
math.AP2023
Sobolev embeddings and distance functions
Lorenzo Brasco, Francesca Prinari, Anna Chiara Zagati
On a general open set of the euclidean space, we study the relation between the embedding of the homogeneous Sobolev space into and the summability prop…