Abstract

In this paper, the existence and multiplicity of positive solutions is established for Schrödinger‐Poisson system of the form urn:x-wiley:mma:media:mma5519:mma5519-math-0001 where 0 ∈ Ω is a smooth bounded domain in , , and λ > 0 is a real parameter. Combining with the variational method and Nehari manifold method, two positive solutions of the system are obtained.

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