| Volume 9, Number 2, 2019, Pages 628-637 DOI：10.11948/2156-907X.20180132 |
| Multiple solutions for a nonhomogeneous Schrodinger-Poisson system with concave and convex nonlinearities |
| Lixia Wang,Shiwang Ma |
| Keywords:Schrodinger-Poisson systems, concave and convex nonlinearities, variational methods, Ekeland's variational principle, Mountain Pass Theorem. |
| Abstract: |
| In this paper, we consider the following nonhomogeneous Schrodinger-Poisson equation
$$
\left\{
- \Delta u +V(x)u+\phi(x)u =-k(x)|u|^{q-2}u+h(x)|u|^{p-2}u+g(x), &x\in \mathbb{R}^3,\\ \Delta \phi =u^2, \quad \lim_{|x|\rightarrow +\infty}\phi(x)=0, & x\in \mathbb{R}^3,
\right.
$$
where $1 |
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