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Abstract The existence of multiple sign-changing solutions for the following nonlinear Schrodinger-Poisson system:－Δu+u+λφ(x)u=|u|p-1u,in R3,－Δφ=|u|2, in R3, was studied.By using a method of invariant sets of descending flow, it was proved that this system had infinitely many sign-changing solutions and had a least energy radially sign-changing solution for p∈(3, 5) .Few existence results of multiple sign-changing solutions were available in the literature.Some results in literature were improved.
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Received: 18 September 2020
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2018, Vol. 31 
