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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.AP2025
Asymptotic properties of non-relativistic limit for pseudo-relativistic Hartree equations
Pan Chen, Vittorio Coti Zelati, Yuanhong Wei
In this paper, we study the asymptotic behavior of energy and action ground states to the following pseudo-relativistic Hartree equation \[ \left(\sqrt{-c^2Δ+m^2c^4}-mc^2\right)u +…