کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4663625 1345269 2015 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Segregated vector solutions for nonlinear schrödinger systems in ℝ2
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Segregated vector solutions for nonlinear schrödinger systems in ℝ2
چکیده انگلیسی

We study the following nonlinear Schrödinger system {−Δu+P(|x|)u=μu3+βv2u, x∈ℝ2,−Δv+Q(|x|)v=vu3+βu2v, x∈ℝ2,where P(r) and Q(r)   are positive radial functions, μ>0,v>0, and β∈ℝμ>0,v>0, and β∈ℝ is a coupling constant. This type of system arises, particularly, in models in Bose-Einstein condensates theory. Applying a finite reduction method, we construct an unbounded sequence of non-radial positive vector solutions of segregated type when β is in some suitable interval, which gives an answer to an interesting problem raised by Peng and Wang in Remark 4.1 (Arch. Ration. Mech. Anal., 208(2013), 305–339).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Acta Mathematica Scientia - Volume 35, Issue 2, March 2015, Pages 383–398
نویسندگان
, , , , ,