Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840789 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 9 Pages |
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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Authors
Jian Zhang, Fukun Zhao,