2 papers
math.AP2025
Existence and nonrelativistic limit of ground states to nonlinear Dirac equation
Pan Chen, Yanheng Ding, Qi Guo
This paper explores the existence and properties of ground states, including both energy and action ground states, for nonlinear Dirac equations with power-type potentials. \begin{…
math.AP2023
Nonrelativistic Limit of Normalized Solutions to a class of nonlinear Dirac equations
Pan Chen, Yanheng Ding, Qi Guo +1
In this paper, we investigate the nonrelativistic limit of normalized solutions to a nonlinear Dirac equation as given below: \begin{equation*} \begin{cases} &-i c\sum\limits_{k=1}…