23 citations · 232 across the 109 of their papers we have counts for
14 papers · 2 filters
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…
Ground states of nonlocal scalar field equations with Trudinger-Moser critical nonlinearity
João Marcos do Ó, Olímpio H. Miyagaki, Marco Squassina
We investigate the existence of ground state solutions for a class of nonlinear scalar field equations defined on whole real line, involving a fractional Laplacian and nonlineariti…
Critical fractional -Laplacian problems with possibly vanishing potentials
Kanishka Perera, Marco Squassina, Yang Yang
We obtain nontrivial solutions of a critical fractional -Laplacian equation in the whole space and with possibly vanishing potentials. In addition to the usual difficulty of the…
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…
Fractional Schrödinger-Poisson systems with a general subcritical or critical nonlinearity
Jianjun Zhang, João Marcos do Ó, Marco Squassina
We consider a fractional Schrödinger-Poisson system with a general nonlinearity in subcritical and critical case. The Ambrosetti-Rabinowitz condition is not required. By using a pe…
Stability of variational eigenvalues for the fractional p-Laplacian
Lorenzo Brasco, Enea Parini, Marco Squassina
By virtue of convergence arguments, we investigate the stability of variational eigenvalues associated with a given topological index for the fractional -Laplacian operator,…
Stability of eigenvalues for variable exponent problems
Francesca Colasuonno, Marco Squassina
In the framework of variable exponent Sobolev spaces, we prove that the variational eigenvalues defined by inf sup procedures of Rayleigh ratios for the Luxemburg norms are all sta…
Schrödinger-Poisson systems with a general critical nonlinearity
Jianjun Zhang, João Marcos do Ó, Marco Squassina
We consider a Schrödinger-Poisson system involving a general nonlinearity at critical growth and we prove the existence of positive solutions. The Ambrosetti-Rabinowitz condition i…