23 citations · 232 across the 109 of their papers we have counts for
7 papers · 2 filters
1/2-Laplacian problems with exponential nonlinearity
Antonio Iannizzotto, Marco Squassina
By exploiting a suitable Trudinger-Moser inequality for fractional Sobolev spaces, we obtain existence and multiplicity of solutions for a class of one-dimensional nonlocal equatio…
Soliton dynamics for the generalized Choquard equation
Claudio Bonanno, Pietro d'Avenia, Marco Ghimenti +1
We investigate the soliton dynamics for a class of nonlinear Schrödinger equations with a non-local nonlinear term. In particular, we consider what we call {\em generalized Choquar…
Soliton dynamics for fractional Schrodinger equations
Simone Secchi, Marco Squassina
We investigate the soliton dynamics for the fractional nonlinear Schrodinger equation by a suitable modulational inequality. In the semiclassical limit, the solution concentrates a…
On the logarithmic Schrodinger equation
Pietro d'Avenia, Eugenio Montefusco, Marco Squassina
In the framework of the nonsmooth critical point theory for lower semi-continuous functionals, we propose a direct variational approach to investigate the existence of infinitely m…
Asymptotic behavior of the eigenvalues of the p(x)-Laplacian
Kanishka Perera, Marco Squassina
We obtain asymptotic estimates for the eigenvalues of the p(x)-Laplacian defined consistently with a homogeneous notion of first eigenvalue recently introduced in the literature.
Symmetry of n-mode positive solutions for two-dimensional Hénon type systems
Naoki Shioji, Marco Squassina
We provide a symmetry result for n-mode positive solutions of a general class of semi-linear elliptic systems under cooperative conditions on the nonlinearities. Moreover, we apply…