کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4610641 1338576 2014 31 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the concentration of semi-classical states for a nonlinear Dirac–Klein–Gordon system
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
On the concentration of semi-classical states for a nonlinear Dirac–Klein–Gordon system
چکیده انگلیسی

In the present paper, we study the semi-classical approximation of a Yukawa-coupled massive Dirac–Klein–Gordon system with some general nonlinear self-coupling. We prove that for a constrained coupling constant there exists a family of ground states of the semi-classical problem, for all ℏ   small, and show that the family concentrates around the maxima of the nonlinear potential as ℏ→0ℏ→0. Our method is variational and relies upon a delicate cutting off technique. It allows us to overcome the lack of convexity of the nonlinearities.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 256, Issue 3, 1 February 2014, Pages 1264–1294
نویسندگان
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