Multi-peak periodic semiclassical states for a class of nonlinear Schrödinger equations-Reference-Cited by-同舟云学术

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

Published:1998 Issue:6 Volume:128 Page:1249-1260
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Cingolani Silvia,Nolasco Margherita

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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