23 citations · 232 across the 109 of their papers we have counts for
18 papers · 1 filter
Fractional logarithmic Schrödinger equations
Pietro d'Avenia, Marco Squassina, Marianna Zenari
By means of non-smooth critical point theory we obtain existence of infinitely many weak solutions of the fractional Schrödinger equation with logarithmic nonlinearity. We also inv…
Critical and subcritical fractional problems with vanishing potentials
João Marcos do Ó, Olimpio H. Miyagaki, Marco Squassina
We investigate a class of nonlinear nonautonomous scalar field equations with fractional diffusion, critical power nonlinearity and a subcritical term. The involved potentials are…
Asymptotics of ground states for fractional Hénon systems
David G. Costa, Olímpio H. Miyagaki, Marco Squassina +1
We investigate the asymptotic behavior of positive ground states for Hénon type systems involving a fractional Laplacian on a bounded domain, when the powers of the nonlinearity ap…
Nonautonomous fractional problems with exponential growth
João Marcos do Ó, Olimpio H. Miyagaki, Marco Squassina
We study a class of nonlinear non-autonomous nonlocal equations with subcritical and critical exponential nonlinearity. The involved potential can vanish at infinity.
Global Hölder regularity for the fractional -Laplacian
Antonio Iannizzotto, Sunra Mosconi, Marco Squassina
By virtue of barrier arguments we prove -regularity up to the boundary for the weak solutions of a non-local nonlinear problem driven by the fractional -Laplacian operator.…
A note on the Dancer-Fucik spectra of the fractional p-Laplacian and Laplacian operators
Kanishka Perera, Marco Squassina, Yang Yang
We study the Dancer-Fucik spectrum of the fractional p-Laplacian operator. We construct an unbounded sequence of decreasing curves in the spectrum using a suitable minimax scheme.…