Multiple solutions for a nonlinear Schrödinger-Poisson system with sign-changing potential

This paper deals with the existence and multiplicity of nontrivial solutions for a nonlinear Schrodinger-Poisson system. Under some suitable conditions, some criteria on the existence of nontrivial solutions, including a ground state solution, two solutions and a sequence of nontrivial solutions { u k } with ? u k ? ? 0 as k ? + ∞ , is established by applying the Morse theory and variational methods. Some known results in the literatures are extended and improved.

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