12 citations · 37 across the 33 of their papers we have counts for
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Nonlocal problems at nearly critical growth
Sunra Mosconi, Marco Squassina
We study the asymptotic behavior of solutions to the nonlocal nonlinear equation in a bounded domain as approaches the critical…
The Brezis-Nirenberg problem for the fractional -Laplacian
Sunra Mosconi, Kanishka Perera, Marco Squassina +1
We obtain nontrivial solutions to the Brezis-Nirenberg problem for the fractional -Laplacian operator, extending some results in the literature for the fractional Laplacian. The…
Optimal decay of extremals for the fractional Sobolev inequality
Lorenzo Brasco, Sunra Mosconi, Marco Squassina
We obtain the sharp asymptotic behavior at infinity of extremal functions for the fractional critical Sobolev embedding.
A note on global regularity for the weak solutions of fractional p-Laplacian equations
Antonio Iannizzotto, Sunra Mosconi, Marco Squassina
We consider a boundary value problem driven by the fractional p-Laplacian operator with a bounded reaction term. By means of barrier arguments, we prove Hölder regularity up to the…
Nonlocal problems at critical growth in contractible domains
Sunra Mosconi, Naoki Shioji, Marco Squassina
We prove the existence of a positive solution for nonlocal problems involving the fractional Laplacian and a critical growth power nonlinearity when the equation is set in a suitab…