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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} &-Δu=(|x|^{-{(n-2)}}\ast u^{p-ε})u^{p-1-ε} \quad \mbox{in}\quad Ω,…
math.AP2025
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}\…
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 in the strongly indefinite and possibly degenerat…