Semi-classical states for Schrodinger-Poisson systems on R^3
In this article, we study the nonlinear Schrodinger-Poisson equation $$\displaylines{ -\epsilon^2\Delta u+V(x) u+\phi(x)u=f(u), \quad x\in{\mathbb{R}^3}, \cr -\epsilon^2\Delta\phi=u^2,\quad \lim_{|x|\to\infty}\phi(x)=0\,. }$$ Under suitable assumptions on V(x) and f(s), we prove the exist...
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| Format: | Article |
| Language: | English |
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Texas State University
2016-03-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/75/abstr.html |