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