کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4618851 | 1339421 | 2011 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Boundary blow-up rates of large solutions for elliptic equations with convection terms
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Boundary blow-up rates of large solutions for elliptic equations with convection terms Boundary blow-up rates of large solutions for elliptic equations with convection terms](/preview/png/4618851.png)
چکیده انگلیسی
By Karamata regular variation theory, a perturbation method and constructing comparison functions, we show the exact asymptotic behavior of large solutions to the semilinear elliptic equations with convection terms{Δu±|∇u|q=b(x)f(u),x∈Ω,u(x)=+∞,x∈∂Ω, where Ω is a smooth bounded domain in RNRN. The weight function b(x)b(x) is a non-negative continuous function in the domain, which may be vanishing on the boundary or be singular on the boundary. f(u)∈C2[0,+∞)f(u)∈C2[0,+∞) is increasing on (0,∞)(0,∞) satisfying the Keller–Osserman condition, and regularly varying at infinity with index ρ>1ρ>1.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 373, Issue 1, 1 January 2011, Pages 30–43
Journal: Journal of Mathematical Analysis and Applications - Volume 373, Issue 1, 1 January 2011, Pages 30–43
نویسندگان
Shuibo Huang, Qiaoyu Tian,