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Journal of the London Mathematical Society Advance Access originally published online on January 16, 2007
Journal of the London Mathematical Society 2007 75(1):67-82; doi:10.1112/jlms/jdl020
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© 2007 London Mathematical Society

Standing waves of some coupled nonlinear Schrödinger equations

Antonio Ambrosetti and Eduardo Colorado

SISSA
2–4 Via Beirut
Trieste 34014
Italy
ambr{at}sissa.it
colorado{at}sissa.it

We deal with a class of systems of nonlinear Schrödinger equations, proving the existence of bound and ground states provided the coupling parameter is small and large, respectively.

1991 Mathematics Subject Classification 34B18, 34G20, 35Q55.

The first author is supported by M.U.R.S.T within the PRIN 2004 ‘Variational methods and nonlinear differential equations’. The second author is supported by Secretaria de Estado de Universidades e Investigación del Ministerio de Educación y Ciencia, Spain (grant EX2005-0112).

Received January 24, 2006; revised May 10, 2006; published online January 16, 2007.


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