23 citations · 232 across the 109 of their papers we have counts for
6 papers · 2 filters
Modulational stability of ground states to nonlinear Kirchhoff equations
Jianjun Zhang, Zhisu Liu, Marco Squassina
We investigate the stability of ground states to a nonlinear focusing Schrödinger equation in presence of a Kirchhoff term. Through a spectral analysis of the linearized operator a…
Fine boundary regularity for the degenerate fractional -Laplacian
Antonio Iannizzotto, Sunra Mosconi, Marco Squassina
We consider a pseudo-differential equation driven by the fractional -Laplacian with (degenerate case), with a bounded reaction and Dirichlet type conditions in a sm…
Nonexistence for hyperbolic problems on Riemannian manifolds
Dario D. Monticelli, Fabio Punzo, Marco Squassina
We establish necessary conditions for the existence of solutions to a class of semilinear hyperbolic problems on complete noncompact Riemannian manifolds, extending some nonexisten…
New characterizations of Sobolev metric spaces
Simone Di Marino, Marco Squassina
We provide new characterizations of Sobolev ad BV spaces in doubling and Poincare metric spaces in the spirit of the Bourgain-Brezis-Mironescu and Nguyen limit formulas holding in…
Asymptotic mean value properties for fractional anisotropic operators
Claudia Bucur, Marco Squassina
We obtain an asymptotic representation formula for harmonic functions with respect to a linear anisotropic nonlocal operator. Furthermore we get a Bourgain-Brezis-Mironescu type li…
Logarithmic Bose-Einstein condensates with harmonic potential
Alex H. Ardila, Liliana Cely, Marco Squassina
In this paper, by using a compactness method, we study the Cauchy problem of the logarithmic Schrödinger equation with harmonic potential. We then address the existence of ground s…