Abstract.
We discuss some recent results dealing with the existence of bound states of the nonlinear Schrödinger-Poisson system
as well as of the corresponding semiclassical limits. The proofs are based upon Critical Point theory and Perturbation Methods.
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Supported by M.U.R.S.T within the PRIN 2006 “Variational methods and nonlinear differential equations”.
Lecture held on February 15, 2008, by A. Ambrosetti, recipient of the Luigi and Wanda Amerio gold medal awarded by the Istituto Lombardo Accademia di Scienze e Lettere.
Received: July 2008
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Ambrosetti, A. On Schrödinger-Poisson Systems. Milan j. math. 76, 257–274 (2008). https://doi.org/10.1007/s00032-008-0094-z
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DOI: https://doi.org/10.1007/s00032-008-0094-z