Non-trivial solutions of fractional Schrodinger-Poisson systems with sum of periodic and vanishing potentials
We consider the fractional Schrodinger-Poisson system $$\displaylines{ (-\Delta)^{\alpha}u+V(x)u+K(x){\Phi}(x)u=f(x,u)-{\Gamma(x)}|u|^{q-2}u \quad\text{in }\mathbb{R}^3,\cr (-\Delta)^{\beta}{\Phi}=K(x)u^2\quad\text{in }\mathbb{R}^3, }$$ where $\alpha,\beta\in(0,1]$, $4\alpha+2\beta>3$, $4\l...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2019-09-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2019/102/abstr.html |