23 citations · 30 across the 12 of their papers we have counts for
12 papers
The mass-mixed case for normalized solutions to NLS equations in dimension two
Daniele Cassani, Ling Huang, Cristina Tarsi +1
\noindent We are concerned with positive normalized solutions to the following semi-linear Schrödinger equations $$ -Δu+λu=f(u), \quad\…
Nonlinear Schrödinger-Poisson systems in dimension two: the zero mass case
Federico Bernini, Giulio Romani, Cristina Tarsi
We provide an existence result for a Schrödinger-Poisson system in gradient form, set in the whole plane, in the case of zero mass. Since the setting is limiting for the Sobolev em…
Bifurcation into spectral gaps for strongly indefinite Choquard equations
Huxiao Luo, Bernhard Ruf, Cristina Tarsi
We consider the semilinear elliptic equations $$ \left\{ \begin{array}{ll} &-Δu+V(x)u=\left(I_α\ast |u|^p\right)|u|^{p-2}u+λu\quad \hbox{for } x\in\mathbb R^N, \\ &u(x) \to 0 \hbox…
Quasilinear logarithmic Choquard equations with exponential growth in
Claudia Bucur, Daniele Cassani, Cristina Tarsi
We consider the -Laplacian Schrödinger equation strongly coupled with higher order fractional Poisson's equations. When the order of the Riesz potential is equal to the Eucl…
Schrödinger-Newton equations in dimension two via a Pohozaev-Trudinger log-weighted inequality
Daniele Cassani, Cristina Tarsi
We study the following Choquard type equation in the whole plane where is the Newton logarithmic kernel, is a boun…
Equivalent and attained version of Hardy's inequality in
Daniele Cassani, Bernhard Ruf, Cristina Tarsi
We investigate connections between Hardy's inequality in the whole space and embedding inequalities for Sobolev-Lorentz spaces. In particular, we complete previous r…