Article ID Journal Published Year Pages File Type
840789 Nonlinear Analysis: Theory, Methods & Applications 2012 9 Pages PDF
Abstract

This paper is concerned with the semiclassical nonlinear Schrödinger equation {−ε2Δu+V(x)u=f(x,u),x∈RNu(x)→0as |x|→∞. where ε>0ε>0 is a small parameter. Under certain hypotheses on VV and a general spectral assumption, the existence and multiplicity of semiclassical solutions are obtained for asymptotically linear nonlinearity via variational methods.

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