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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

Margherita Nolasco 1,

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

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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