Omar Cabrera

collaborators

2 papers

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 $- Δ u + a (x) u + (lo g ∣ \cdot ∣ * u^{2}) u = 0, in R^{2}$ in the strongly indefinite and possibly degenerat…

math.AP2025

Chain-structure solutions to a Schrödinger-Poisson system in $R^{3}$

Omar Cabrera

We prove the existence of ground states and high-energy solutions to the following Schrödinger-Poisson system \begin{align*} \begin{cases} - Δu + a(x) u + u v = 0,\newline Δv = u^2…

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

Chain-structure solutions to a Schrödinger-Poisson system in R3

Chain-structure solutions to a Schrödinger-Poisson system in $R^{3}$