2 citations · 2 across the 6 of their papers we have counts for
6 papers
A geometrical approach to the sharp Hardy inequality in Sobolev-Slobodecki\uı spaces
Francesca Bianchi, Giorgio Stefani, Anna Chiara Zagati
We give a partial negative answer to a question left open in a previous work by Brasco and the first and third-named authors concerning the sharp constant in the fractional Hardy i…
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…
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…
On the sharp Hardy inequality in Sobolev-Slobodecki\uı spaces
Francesca Bianchi, Lorenzo Brasco, Anna Chiara Zagati
We study the sharp constant in the Hardy inequality for fractional Sobolev spaces defined on open subsets of the Euclidean space. We first list some properties of such a constant,…
A note on the supersolution method for Hardy's inequality
Francesca Bianchi, Lorenzo Brasco, Firoj Sk +1
We prove a characterization of Hardy's inequality in Sobolev-Slobodecki\uı spaces in terms of positive local weak supersolutions of the relevant Euler-Lagrange equation. This exten…
A comparison principle for the Lane-Emden equation and applications to geometric estimates
Lorenzo Brasco, Francesca Prinari, Anna Chiara Zagati
We prove a comparison principle for positive supersolutions and subsolutions to the Lane-Emden equation for the Laplacian, with subhomogeneous power in the right-hand side. The…