Positive solutions for a weakly coupled nonlinear Schrödinger system

Existence of a nontrivial solution is established, via variational methods, for a system of weakly coupled nonlinear Schrödinger equations. The main goal is to obtain a positive solution, of minimal action if possible, with all vector components not identically zero. Generalizations for nonautonomou...

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Bibliographic Details
Published in:Journal of Differential Equations 2006-10, Vol.229 (2), p.743-767
Main Authors: Maia, L.A., Montefusco, E., Pellacci, B.
Format: Article
Language:English
Subjects:
Least energy solution
Nonlinear elliptic system
Weakly coupled Schrödinger equations
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Summary:Existence of a nontrivial solution is established, via variational methods, for a system of weakly coupled nonlinear Schrödinger equations. The main goal is to obtain a positive solution, of minimal action if possible, with all vector components not identically zero. Generalizations for nonautonomous systems are considered.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2006.07.002