Multiple nontrivial solutions for a nonhomogeneous Schrödinger–Poisson system in $\mathbb{R}^3$
In this paper, we study the following Schrödinger–Poisson system \begin{equation*} \begin{cases} -\Delta u+V(x)u+\phi u=f(x,u)+g(x), &\quad x \in \mathbb{R}^{3},\\ -\Delta \phi=u^{2}, &\quad x \in \mathbb{R}^{3}. \end{cases} \end{equation*} Under appropriate assumptions on $V, f$ and $g$, us...
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2017-05-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=5594 |