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math.AP2025
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.AP2024
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…