208 citations · 478 across the 22 of their papers we have counts for
23 papers
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} &-Δu=(|x|^{-{(n-2)}}\ast u^{p-ε})u^{p-1-ε} \quad \mbox{in}\quad Ω,…
Normalized ground states for NLS equations with mass critical nonlinearities
Silvia Cingolani, Marco Gallo, Norihisa Ikoma +1
We study normalized solutions to nonlinear Schrödinger equations $$ -Δu + μu = g(u)\quad \hbox{in}\ \mathbb{R}^N, \qquad \frac{1}{2}\…
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 in the strongly indefinite and possibly degenerat…
Normalized solutions for nonlinear Schrödinger equations with -critical nonlinearity
Silvia Cingolani, Marco Gallo, Norihisa Ikoma +1
We study the following nonlinear Schrödinger equation and we look for normalized solutions for a given and \[ -Δu + μu = g(u…
New analytical and geometrical aspects on Trudinger-Moser type inequality in 2D
Natalino Borgia, Silvia Cingolani, Gabriele Mancini
The present survey is devoted to results on Trudinger-Moser inequalities in two dimension. We give a brief overview of the history of these celebrated inequalities and, starting fr…
Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities
Silvia Cingolani, Marco Gallo, Kazunaga Tanaka
In this paper we study the following nonlinear fractional Choquard-Pekar equation \begin{equation}\label{eq_abstract} (-Δ)^s u + μu =(I_α*F(u)) F'(u) \quad \hbox{in}\ \mathbb{R}^N,…