Standing waves with a critical frequency for nonlinear Schrödinger equations involving critical growth
نویسندگان
چکیده
منابع مشابه
Standing waves with a critical frequency for nonlinear Schrödinger equations involving critical growth
This paper is concerned with the existence and qualitative property of standing wave solutions ψ(t, x) = e−iEt/h̄v(x) for the nonlinear Schrödinger equation h̄ ∂ψ ∂t + h̄2 2 ψ − V (x)ψ + |ψ |p−1ψ = 0 with E being a critical frequency in the sense that minRN V (x) = E. We show that there exists a standing wave which is trapped in a neighbourhood of isolated minimum points of V and whose amplitude g...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2017
ISSN: 0893-9659
DOI: 10.1016/j.aml.2016.07.012