2 papers
math.AP2026
Existence and Concentration of Multiple Positive Solutions for a Logarithmic Fractional Schrödinger--Poisson System
Jiao Luo, Zhipeng Yang
We study a logarithmic fractional Schrödinger--Poisson system in \(\R^{3}\): \begin{equation*} \begin{cases} \varepsilon^{2α}(-Δ)^αu+V(x)u+ϕu=u\log u^{2}+|u|^{p-2}u, & \text{in }\R…
math.AP2025
Existence and concentration of multiple solutions for the fractional logarithmic Schrödinger-Poisson system via the penalization method
Jiao Luo, Zhipeng Yang
We study positive solutions of the fractional logarithmic Schrödinger-Poisson system \[ \begin{cases} \varepsilon^{2α}(-Δ)^αu+V(x)u+ϕu=u\log u^2+|u|^{q-2}u, & \text{in } \mathbb{R}…