Title of article
Semiclassical states for nonlinear Schrödinger equations with sign-changing potentials
Author/Authors
Yanheng Ding، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2007
Pages
27
From page
546
To page
572
Abstract
We establish the existence and multiplicity of semiclassical bound states of the following nonlinear
Schrödinger equation:
−ε2 u +V (x)u = g(x,u) for x ∈ RN,
u(x)→0 as |x|→∞
where V changes sign and g is superlinear with critical or supercritical growth as |u|→∞.
© 2007 Elsevier Inc. All rights reserved.
Keywords
Nonlinear Schr?dinger equation , Sign-changing potential , Superlinear , Supercritical growth
Journal title
Journal of Functional Analysis
Serial Year
2007
Journal title
Journal of Functional Analysis
Record number
839482
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