Positive solutions of Schrodinger-Poisson systems with Hardy potential and indefinite nonlinearity
In this article, we study the nonlinear Schrodinger-Poisson system $$\displaylines{ -\Delta u+u-\mu\frac{u}{|x|^2}+l(x) \phi u=k(x)|u|^{p-2}u \quad x\in\mathbb{R}^3, \cr -\Delta\phi=l(x)u^2 \quad x\in\mathbb{R}^3, }$$ where $k\in C(\mathbb{R}^3)$ and 4<p<6, k changes sign in $\mat...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2020-05-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2020/47/abstr.html |