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