کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4628803 | 1340566 | 2013 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A remark on the radial and nonradial solutions for an elliptic system with a quadratic gradient term
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Recently, the authors Yang and Zhang in [Y. Yang, X. Zhang, Entire blow-up solutions of semilinear elliptic system with quadratic gradient term, Abstract and Applied Analysis, 2012] have been obtained sufficiently conditions for the existence and non-existence of radially symmetric solutions for the system of equations Îui+â£âuiâ£2=ai(x)fi(u1,â¦,ud) on RN (N⩾3) with i=1,â¦,d and dâ{1,2,3,4,â¦}. Our aim in this paper is to give a necessary and a sufficient condition, but for the existence of large (or explosive) solutions for the same class of systems. Moreover, we intend to obtain a non-radial solution for the considered problem. We also point out that our framework in the obtained results improve and complete some of the results obtained by Yang and Zhang.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 15, 1 April 2013, Pages 8302-8310
Journal: Applied Mathematics and Computation - Volume 219, Issue 15, 1 April 2013, Pages 8302-8310
نویسندگان
Bogdan Constantin,