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Multi-peak periodic semiclassical states for a class of nonlinear Schrödinger equations*

Published online by Cambridge University Press:  14 November 2011

Silvia Cingolani  and
Margherita Nolasco
Silvia Cingolani
Affiliation:
Dipartimento di Matematica, Politecnico di Bari, via E. Orabona 4, 1-70125 Bari, Italy e-mail: cingolan@pascal.dm.uniba.it
Margherita Nolasco
Affiliation:
Dipartimento di Matematica, Università di Roma ‘La Sapienza’, P.le Aldo Moro 7, 1-00185 Roma, Italy e-mail: nolasco@mat.uniromal.it
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Extract

For a class of nonlinear Schrodinger equations, we prove the existence of semiclassical stationary states with possibly infinitely many concentration points. As h → 0, these states concentrate near critical points of the potential. Furthermore, for periodic potential, these states can be constructed to satisfy periodic boundary conditions.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 128 , Issue 6 , 1998 , pp. 1249 - 1260
Copyright
Copyright © Royal Society of Edinburgh 1998

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