2 papers
math.AP2026
Ground states for pseudo-relativistic Schrödinger equations with logarithm-law: qualitative properties and nonrelativistic limit
Pingkang Guan, Yuanhong Wei
In this paper, we study the pseudo-relativistic Schrödinger equation with logarithmic nonlinearity \begin{equation*} \left(\sqrt{-c^{2}Δ+m^{2}c^{4}}-mc^{2}\right)u+μu=u\log|u| \qua…
math.AP2026
Bound states of Schrödinger-Poisson system in electromagnetic fields
Pingkang Guan, Baihong Li, Dimitri Mugnai +1
This paper investigates the Schrödinger-Poisson system involving electromagnetic fields. Our approach is mainly based on the variational method. By developing the global compactnes…