On the concentration of semiclassical states for nonlinear Dirac equations
On the concentration of semiclassical states for nonlinear Dirac equations
In this paper, we study the following nonlinear Dirac equation \begin{document}$\begin{equation*}-i\varepsilonα·\nabla w+aβ w+V(x)w = g(|w|)w, \ x∈ \mathbb{R}^3, \ {\rm for}\ w∈ H^1(\mathbb R^3, \mathbb C^4), \end{equation*}$ \end{document} where $a > 0$ is a constant, $α = (α_1, α_2, α_3)$, $α_1, α_2, α_3$ and $β$ are $4×4$ Pauli-Dirac matrices. Under …