For a class of nonlinear Schrodinger equations, we prove the existence of semiclassical stationary states with possibly infinitely many concentration points. As (h) over bar --> 0, these states concentrate near critical points of the potential. Furthermore, for periodic potential, these states can be constructed to satisfy periodic boundary conditions.
Multi-peak periodic semiclassical states for a class of nonlinear Schrödinger equations
NOLASCO, MARGHERITA
1998-01-01
Abstract
For a class of nonlinear Schrodinger equations, we prove the existence of semiclassical stationary states with possibly infinitely many concentration points. As (h) over bar --> 0, these states concentrate near critical points of the potential. Furthermore, for periodic potential, these states can be constructed to satisfy periodic boundary conditions.File in questo prodotto:
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