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 / Cingolani, Silvia; Nolasco, Margherita. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - STAMPA. - 128:6(1998), pp. 1249-1260. [10.1017/S030821050002730X]
Multi-peak periodic semiclassical states for a class of nonlinear Schrödinger equations
Silvia Cingolani;
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
