کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5774240 | 1413551 | 2017 | 30 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Existence theorems for a general 2Â ÃÂ 2 non-Abelian Chern-Simons-Higgs system over a torus
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
In this paper we study a general 2Ã2 non-Abelian Chern-Simons-Higgs system of the formÎui+1ε2(âj=12Kjieujââj=12âk=12KkjKjieujeuk)=4Ïâj=1Niδpij(x),i=1,2 over a flat 2-torus T2, where ε>0, δp is the Dirac measure at p, NiâN (i=1,2), K is a non-degenerate 2Ã2 matrix of the form K=(1+aâaâb1+b), which may cover the physically interesting case when K is a Cartan matrix (of a rank 2 semisimple Lie algebra). Concerning the existence results of this type system over T2, usually in the literature there is a requirement that a,b>0. However, it is an open problem so far for the solvability about such system with a,b<0, which naturally appears in several Chern-Simons-Higgs models with some specific gauge groups. We partially solve this problem by showing that there exists a constant ε0>0 such that this system admits a solution over the torus if 0<ε<ε0 provided |a|,|b| are suitably small. Furthermore, if abâ¥0 in addition, with suitable condition on a,b,N1,N2, this system admits a mountain-pass solution. Our argument is based on a perturbation approach and the mountain-pass lemma.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 263, Issue 2, 15 July 2017, Pages 1522-1551
Journal: Journal of Differential Equations - Volume 263, Issue 2, 15 July 2017, Pages 1522-1551
نویسندگان
Xiaosen Han, Genggeng Huang,