scholarly journals Positive solutions for a weakly coupled nonlinear Schrödinger system

2006 ◽  
Vol 229 (2) ◽  
pp. 743-767 ◽  
Author(s):  
L.A. Maia ◽  
E. Montefusco ◽  
B. Pellacci
Keyword(s):  
Positive Solutions ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrödinger System ◽  
Weakly Coupled ◽  
Schrödinger System

INFINITELY MANY NODAL SOLUTIONS FOR A WEAKLY COUPLED NONLINEAR SCHRÖDINGER SYSTEM

2008 ◽  
Vol 10 (05) ◽  
pp. 651-669 ◽  
Author(s):  
L. A. MAIA ◽  
E. MONTEFUSCO ◽  
B. PELLACCI
Keyword(s):  
Variational Methods ◽  
Nodal Solution ◽  
Radial Solutions ◽  
Coupled Nonlinear Schrödinger Equations ◽  
Nodal Solutions ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrödinger System ◽  
Weakly Coupled ◽  
Nonlinear Schrodinger Equations ◽  
Schrödinger System

Existence of radial solutions with a prescribed number of nodes is established, via variational methods, for a system of weakly coupled nonlinear Schrödinger equations. The main goal is to obtain a nodal solution with all vector components not identically zero and an estimate on their energies.

Existence and Concentration of Positive Solutions For Coupled Nonlinear Schrödinger Systems in ℝN

2007 ◽  
Vol 7 (1) ◽  
Author(s):  
Youyan Wan
Keyword(s):  
Positive Solutions ◽  
Small Positive Number ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrödinger System ◽  
Nonlinear Schrödinger Systems ◽  
Schrödinger Systems ◽  
Positive Functions ◽  
Schrödinger System

AbstractThe aim of this paper is to study the existence and concentration of positive solutions for the coupled nonlinear Schrödinger systemwhere ε is a small positive number, N ≥ 3, p, q > 1 satisfyand W(x), Q(x), K(x) are continuous and bounded positive functions defined in ℝ

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