3 papers
math.AP2024
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…
math.FA2024
Properties of Lipschitz smoothing heat semigroups
Nicolò De Ponti, Giorgio Stefani
We prove several functional and geometric inequalities only assuming the linearity and a quantitative -to-Lipschitz smoothing of the heat semigroup in metric-mea…
math.AP2023
Topological singularities arising from fractional-gradient energies
Roberto Alicandro, Andrea Braides, Margherita Solci +1
We prove that, on a planar regular domain, suitably scaled functionals of Ginzburg-Landau type, given by the sum of quadratic fractional Sobolev seminorms and a penalization term v…