کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4612728 1338704 2009 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence and orbital stability of standing waves for some nonlinear Schrödinger equations, perturbation of a model case
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Existence and orbital stability of standing waves for some nonlinear Schrödinger equations, perturbation of a model case
چکیده انگلیسی

The following nonlinear Schrödinger equation is studiedi∂tw+Δw+f(x,w)=0,w=w(t,x):R×RN→C,N⩾3.f   is a nonlinearity that can be written in the form f(x,s)=V(x)|s|p−1s+r(x,s)f(x,s)=V(x)|s|p−1s+r(x,s), where V   decays at infinity like |x|−b|x|−b for some b∈(0,2)b∈(0,2) and r   is a perturbation having the same qualitative behaviour as V(x)|s|p−1sV(x)|s|p−1s for small |s||s|. f   is possibly singular at the origin 0∈RN0∈RN. A standing wave is a solution of the form w(t,x)=eiλtu(x)w(t,x)=eiλtu(x) where λ>0λ>0 and u:RN→R. For 1

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 246, Issue 5, 1 March 2009, Pages 1921–1943
نویسندگان
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