S. Cingolani

collaborators

4 papers

math.AP2025

Asymptotic behavior of least energy solutions to the nonlinear Hartree equation near critical exponent

Silvia Cingolani, Minbo Yang, Shunneng Zhao

In this paper, we study that the nearly critical nonlocal problem \begin{equation*} \left\lbrace \begin{aligned} &-Îu=(|x|^{-{(n-2)}}\ast u^{p-Îµ})u^{p-1-Îµ} \quad \mbox{in}\quad…

math.AP2025

Normalized ground states for NLS equations with mass critical nonlinearities

Silvia Cingolani, Marco Gallo, Norihisa Ikoma +1

We study normalized solutions $(I^¼, u) \in R \times H^{1} (R^{N})$ to nonlinear SchrÃ¶dinger equations $$ -Îu + Î¼u = g(u)\quad \hbox{in}\ \mathbb{R}^N, \qquad \frac{1}…

math.AP2025

A new framework for Ljusternik-Schnirelmann theory and its application to planar Choquard equations

Omar Cabrera, Silvia Cingolani, Tobias Weth

We consider the planar logarithmic Choquard equation $- I^ u + a (x) u + (lo g ∣ \cdot ∣ * u^{2}) u = 0, in R^{2}$ in the strongly indefinite and possibly degenera…

math.AP2025

Normalized solutions for nonlinear SchrÃ¶dinger equations with $L^{2}$ -critical nonlinearity

Silvia Cingolani, Marco Gallo, Norihisa Ikoma +1

We study the following nonlinear SchrÃ¶dinger equation and we look for normalized solutions $(I^¼, u) \in R \times H^{1} (R^{N})$ for a given $m > 0$ and $N \geq 2$ \[ -Îu + Î¼u =…

Asymptotic behavior of least energy solutions to the nonlinear Hartree equation near critical exponent

Normalized ground states for NLS equations with mass critical nonlinearities

A new framework for Ljusternik-Schnirelmann theory and its application to planar Choquard equations

Normalized solutions for nonlinear SchrÃ¶dinger equations with L2-critical nonlinearity

Normalized solutions for nonlinear SchrÃ¶dinger equations with $L^{2}$ -critical nonlinearity