Volume 15, Number 3, July-September 2009
|Page(s)||653 - 675|
|Published online||20 August 2008|
Multi-peak solutions for magnetic NLS equations without non-degeneracy conditions
Dipartimento di Matematica, Politecnico di
Bari, via Orabona 4, 70125 Bari, Italy. firstname.lastname@example.org
2 Équipe de Mathématiques (UMR CNRS 6623), 16 Route de Gray, 25030 Besançon, France. email@example.com
3 Dipartimento di Matematica ed Applicazioni, Università di Milano-Bicocca, via Cozzi 53, 20125 Milano, Italy. Simone.Secchi@unimib.it
Revised: 13 March 2008
In this work we consider the magnetic NLS equation where , is a magnetic potential, possibly unbounded, is a multi-well electric potential, which can vanish somewhere, f is a subcritical nonlinear term. We prove the existence of a semiclassical multi-peak solution to (0.1), under conditions on the nonlinearity which are nearly optimal.
Mathematics Subject Classification: 35J20 / 35J60
Key words: Nonlinear Schrödinger equations / magnetic fields / multi-peaks
© EDP Sciences, SMAI, 2008
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