کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6417271 | 1338677 | 2011 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Multiple solutions for an elliptic problem related to vortex pairs
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
Let Ω be a bounded domain in RN (N⩾2), Ï a harmonic function in Ω¯. In this paper we study the existence of solutions to the following problem arising in the study of vortex pairs(Pλ){âÎu=λ(uâÏ)+pâ1,xâΩ,u=0,xââΩ. The set Ωp={xâΩ,u(x)>Ï} is called “vortex core”. Existence of solutions whose “vortex core” consists of one component and asymptotic behavior of “vortex core” were studied by many authors for large λ recently. Under the condition that Ï has k strictly local minimum points on the boundary âΩ, we obtain in this paper that for λ large enough, (Pλ) has a solution with “vortex core” consisting of k components by a constructive way.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 250, Issue 8, 15 April 2011, Pages 3448-3472
Journal: Journal of Differential Equations - Volume 250, Issue 8, 15 April 2011, Pages 3448-3472
نویسندگان
Yi Li, Shuangjie Peng,