On multi-lump solutions to the non-linear Schrodinger equation

We present a new approach to proving the existence of semi-classical bound states of the non-linear Schrodinger equation which are concentrated near a finite set of non-degenerate critical points of the potential function. The method is based on considering a system of non-linear elliptic equations....

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Bibliographic Details
Main Author: Robert Magnus
Format: Article
Language:English
Published: Texas State University 1998-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/1998/29/abstr.html