Abstract

We study the Schrödinger–Poisson–Slater equation −Δu+u+λ(I2∗|u|2)u=|u|p−2uin R3,where p∈(3,6) and λ>0. By using direct variational analysis based on the comparison of the ground state energy levels, we obtain a characterization of the limit profile of the positive ground states for λ→∞.

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