Abstract
We consider the system (Formula present.) where 3 < p < 5 and the potentials K(x), a(x) and V (x) has finite limits as |x|→+∞ By imposing some conditions on the decay rate of the potentials we obtain the existence of a ground state solution. In the proof we apply variational methods.
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Furtado, M. F., Maia, L. A., & Medeiros, E. S. (2014). A note on the existence of a positive solution for a non-autonomous Schrödinger–Poisson system. In Progress in Nonlinear Differential Equations and Their Application (Vol. 85, pp. 277–286). Springer US. https://doi.org/10.1007/978-3-319-04214-5_16
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