Existence and multiplicity of solutions for nonlinear Dirac-Poisson systems

This article concerns the nonlinear Dirac-Poisson system $$\displaylines{ -i\sum^3_{k=1}\alpha_{k}\partial_{k}u + (V(x)+a)\beta u + \omega u-\phi u =F_u(x,u),\cr -\Delta \phi=4\pi|u|^2, }$$ in $\mathbb{R}^3$, where $V(x)$ is a potential function and $F(x,u)$ is an asymptotically quadratic no...

Full description

Bibliographic Details
Main Authors: Jian Zhang, Wen Zhang, Xianhua Tang
Format: Article
Language:English
Published: Texas State University 2017-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2017/91/abstr.html