23 citations · 232 across the 109 of their papers we have counts for
6 papers · 2 filters
Nonlocal problems with critical Hardy nonlinearity
Wenjing Chen, Sunra Mosconi, Marco Squassina
By means of variational methods we establish existence and multiplicity of solutions for a class of nonlinear nonlocal problems involving the fractional p-Laplacian and a combined…
Gausson dynamics for logarithmic Schrödinger equations
Alex H. Ardila, Marco Squassina
In this paper we study the validity of a Gausson (soliton) dynamics of the logarithmic Schrödinger equation in presence of a smooth external potential.
Bifurcation results for problems with fractional Trudinger-Moser nonlinearity
Kanishka Perera, Marco Squassina
By using a suitable topological argument based on cohomological linking and by exploiting a Trudinger-Moser inequality in fractional spaces recently obtained, we prove existence of…
New characterizations of magnetic Sobolev spaces
Hoai-Minh Nguyen, Andrea Pinamonti, Marco Squassina +1
We establish two new characterizations of magnetic Sobolev spaces for Lipschitz magnetic fields in terms of nonlocal functionals. The first one is related to the BBM formula, due t…
Logarithmic Sobolev inequality revisited
Hoai-Minh Nguyen, Marco Squassina
We provide a new characterization of the logarithmic Sobolev inequality.
Pohozaev identity for the fractional Laplacian on
Lorenzo Brasco, Sunra Mosconi, Marco Squassina
By virtue of a suitable approximation argument, we prove a Pohozaev identity for nonlinear nonlocal problems on involving the fractional Laplacian operator. Furt…