Cluster Solutions for the Schrödinger-poisson-slater Problem around a Local Minimum of the Potential
نویسندگان
چکیده
In this paper we consider the system in R (1) −ε∆u+ V (x)u+ φ(x)u = u, −∆φ = u, for p ∈ (1, 5). We prove the existence of multi-bump solutions whose bumps concentrate around a local minimum of the potential V (x). We point out that such solutions do not exist in the framework of the usual Nonlinear Schrödinger Equation.
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