Communications on Pure and Applied Analysis (CPAA)

Breathing modes for the Schrödinger-Poisson system with a multiple--well external potential

Pages: 1411 - 1419, Volume 9, Issue 5, September 2010      doi:10.3934/cpaa.2010.9.1411

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Margherita Nolasco - Dipartimento di Matematica Pura ed Applicata, Università di L’Aquila, Via Vetoio, Coppito, 67010 L’Aquila, Italy (email)

Abstract: We consider a Schrödinger-Poisson system with attractive selfinteractions and a multiple well external potential. We prove the existence of multiple breathing mode solutions bifurcating from the Hartree ground state.

Keywords:  Schrödinger-Poisson equation, nonlinear elliptic equations.
Mathematics Subject Classification:  Primary: 35Q55; Secondary: 35J10.

Received: August 2009;      Revised: January 2010;      Available Online: May 2010.