Ground state and orbital stability for the NLS equation on a general starlike graph with potentials
نویسندگان
چکیده
منابع مشابه
On the Orbital Stability for a Class of Nonautonomous Nls
Following the original approach introduced by T. Cazenave and P.L. Lions in [4] we prove the existence and the orbital stability of standing waves for the following class of NLS: (0.1) i∂tu + ∆u − V (x)u + Q(x)u|u| p−2 = 0, (t, x) ∈ R × R n , 2 < p < 2 + 4 n and (0.2) i∂tu − ∆ 2 u − V (x)u + Q(x)u|u| p−2 = 0, (t, x) ∈ R × R n , 2 < p < 2 + 8 n under suitable assumptions on the potentials V (x) ...
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2017
ISSN: 0951-7715,1361-6544
DOI: 10.1088/1361-6544/aa7cc3