کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9501705 | 1338778 | 2005 | 31 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Structure of boundary blow-up solutions for quasi-linear elliptic problems II: small and intermediate solutions
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The structure of positive boundary blow-up solutions to quasi-linear elliptic problems of the form âÎpu=λf(u), u=â on âΩ, 1
0 in (z1,z2). Large, small and intermediate solutions are obtained for λ sufficiently large. It is known from Part I (see Structure of boundary blow-up solutions for quasilinear elliptic problems, part (I): large and small solutions, preprint), that the large solution is the unique large solution to the problem. We will see that the small solution is also the unique small solution to the problem while there are infinitely many intermediate solutions. Our results are new even for the case p=2.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 211, Issue 1, 1 April 2005, Pages 187-217
Journal: Journal of Differential Equations - Volume 211, Issue 1, 1 April 2005, Pages 187-217
نویسندگان
Zongming Guo, J.R.L. Webb,