Multiple semiclassical states for singular magnetic nonlinear Schrodinger equations

By means of a finite-dimensional reduction, we show a multiplicity result of semiclassical solutions $u: mathbb{R}^N omathbb{C}$ to the singular nonlinear Schrodinger equation $$ Big( frac{varepsilon}{i} abla - A(x)Big)^2 u + u+(V(x)-gamma(varepsilon)W(x)) u = K(x) | u|^{p-1} u, quad x in m...

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Bibliographic Details
Main Author: Sara Barile
Format: Article
Language:English
Published: Texas State University 2008-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2008/37/abstr.html