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July  2010, 9(4): 867-884. doi: 10.3934/cpaa.2010.9.867

## Energy convexity estimates for non-degenerate ground states of nonlinear 1D Schrödinger systems

 1 Dipartimento di Matematica, Sapienza Università di Roma, Piazzale A. Moro 5, 00185 Roma, Italy 2 Dipartimento di Scienze Applicate, Università degli Studi di Napoli Parthenope, CDN Isola C4, I-80143 Napoli, Italy 3 Dipartimento di Informatica, Università degli Studi di Verona, Cá Vignal 2, Strada Le Grazie 15, I-37134 Veron, Italy

Received  October 2008 Revised  February 2010 Published  April 2010

We study the spectral structure of the complex linearized operator for a class of nonlinear Schrödinger systems, obtaining as byproduct some interesting properties of non-degenerate ground state of the associated elliptic system, such as being isolated and orbitally stable.
Citation: Eugenio Montefusco, Benedetta Pellacci, Marco Squassina. Energy convexity estimates for non-degenerate ground states of nonlinear 1D Schrödinger systems. Communications on Pure &amp; Applied Analysis, 2010, 9 (4) : 867-884. doi: 10.3934/cpaa.2010.9.867
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