23 citations · 232 across the 109 of their papers we have counts for
14 papers · 1 filter
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 Nehari manifold for fractional systems involving critical nonlinearities
Xiaoming He, Marco Squassina, Wenming Zou
We study the combined effect of concave and convex nonlinearities on the number of positive solutions for a fractional system involving critical Sobolev exponents. With the help of…
The Brezis-Nirenberg problem for nonlocal systems
Luiz Faria, Olimpio Miyagaki, Fabio Pereira +2
By means of variational methods we investigate existence, non-existence as well as regularity of weak solutions for a system of nonlocal equations involving the fractional laplacia…
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.
Eigenvalues for double phase variational integrals
Francesca Colasuonno, Marco Squassina
We study an eigenvalue problem in the framework of double phase variational integrals and we introduce a sequence of nonlinear eigenvalues by a minimax procedure. We establish a co…