کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8053768 1519432 2018 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Multiple solutions for the Schrödinger equations with sign-changing potential and Hartree nonlinearity
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Multiple solutions for the Schrödinger equations with sign-changing potential and Hartree nonlinearity
چکیده انگلیسی
In this paper, we study the following Schrödinger equation −Δu+Vλ(x)u+μϕ|u|p−2u=f(x,u)+β(x)|u|ν−2u, in R3,(−Δ)α2ϕ=μ|u|p, in R3,where μ≥0 is a parameter, α∈(0,3), ν∈(1,2) and p∈[2,3+2α). Vλ is allowed to be sign-changing and ϕ|u|p−2u is a Hartree-type nonlinearity. We require that Vλ=λV+−V− with V+ having a bounded potential well Ω whose depth is controlled by λ. Under some mild conditions on Vλ(x) and f(x,u), we prove that the above system has at least two nontrivial solutions. Specially, our results cover the general Schrödinger equations and the Schrödinger-Poisson equations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 81, July 2018, Pages 21-26
نویسندگان
, ,