Abstract
We use a variational approach to deal with the system −Δu+V(x)u+K(x)ϕu=a(x)|u|p−1u,−Δϕ=K(x)u2,x∈R3, with 3<p<5. Under some mild conditions on the sign-changing potentials V and a we obtain two nonzero solutions. One of them is nonnegative and the other one changes sign.
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