Abstract
In this paper, we study the multiplicity of solutions for a class of nonhomogeneous Schrödinger–Poisson systems under general superlinear conditions at infinity. With the aid of Ekeland’s variational principle, Jeanjean’s monotone method, Pohožaev’s identity, and the mountain pass theorem, we prove that a Schrödinger–Poisson system has at least two positive solutions, which generalizes and improves some recent results in the literature.
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*This research is supported by the National Natural Science Foundation of China (No. 11601049) and the Science and Technology
Research Program of Chongqing Municipal Education Commission (No. KJQN201900501).
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Ye, Y. Multiple positive solutions for nonhomogeneous Schrödinger–Poisson system in ℝ3*. Lith Math J 60, 276–287 (2020). https://doi.org/10.1007/s10986-020-09476-8
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DOI: https://doi.org/10.1007/s10986-020-09476-8