Article ID Journal Published Year Pages File Type
842289 Nonlinear Analysis: Theory, Methods & Applications 2008 8 Pages PDF
Abstract

This paper is concerned with the non-periodic Schrödinger equation {−Δu+V(x)u=f(x,u),x∈RNu(x)→0as|x|→∞. Under a general spectral assumption, the existence and multiplicity of solutions are obtained for asymptotically linear nonlinearity via variational methods.

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Physical Sciences and Engineering Engineering Engineering (General)
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Existence and multiplicity of solutions for a non-periodic Schrödinger equation
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