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

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September 2010, 9(5): 1411-1419. doi: 10.3934/cpaa.2010.9.1411

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

1.	Dipartimento di Matematica Pura ed Applicata, Università di L’Aquila, Via Vetoio, Coppito, 67010 L’Aquila, Italy

Received August 2009 Revised January 2010 Published May 2010

Abstract
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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: 35J1.

Citation: Margherita Nolasco. Breathing modes for the Schrödinger-Poisson system with a multiple--well external potential. Communications on Pure & Applied Analysis, 2010, 9 (5) : 1411-1419. doi: 10.3934/cpaa.2010.9.1411

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