scholarly journals Semitrivial vs. fully nontrivial ground states in cooperative cubic Schrödinger systems with d≥ 3 equations

2016 ◽  
Vol 271 (8) ◽  
pp. 2247-2273 ◽  
Author(s):  
Simão Correia ◽  
Filipe Oliveira ◽  
Hugo Tavares
Keyword(s):  
Ground States ◽  
Schrödinger Systems

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

2010 ◽  
Vol 9 (4) ◽  
pp. 867-884 ◽  
Author(s):  
Eugenio Montefusco ◽  
◽  
Benedetta Pellacci ◽  
Marco Squassina ◽  
◽  
...  
Keyword(s):  
Ground States ◽  
Schrödinger Systems

scholarly journals Ground States for the Schrödinger Systems with Harmonic Potential and Combined Power-Type Nonlinearities

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Baiyu Liu
Keyword(s):  
Variational Method ◽  
Ground States ◽  
Harmonic Potential ◽  
Power Type ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrödinger Systems ◽  
Schrödinger Systems

We consider a class of coupled nonlinear Schrödinger systems with potential terms and combined power-type nonlinearities. We establish the existence of ground states, by using a variational method. As an application, some symmetry results for ground states of Schrödinger systems with harmonic potential terms are obtained.

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