In this paper we consider the system in
for . We prove the existence of multi-bump solutions whose bumps concentrate around a local minimum of the potential . We point out that such solutions do not exist in the framework of the usual Nonlinear Schrödinger Equation.
Cite this article
David Ruiz, Giusi Vaira, Cluster solutions for the Schrödinger-Poisson-Slater problem around a local minimum of the potential. Rev. Mat. Iberoam. 27 (2011), no. 1, pp. 253–271DOI 10.4171/RMI/635