کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
839629 1470481 2015 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Exact behavior of the unique positive solution to some singular elliptic problem in exterior domains
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Exact behavior of the unique positive solution to some singular elliptic problem in exterior domains
چکیده انگلیسی

In this paper, we give an exact behavior on the boundary and at infinity of the unique solution to the following singular boundary value problem −Δu=a(x)g(u),x∈Ω,u>0,in  Ω,u|∂Ω=0  and  lim|x|→∞u(x)=0. Here ΩΩ is an exterior domain in Rn(n≥3) with compact C2C2-boundary, g∈C1((0,∞),(0,∞))g∈C1((0,∞),(0,∞)) is nonincreasing on (0,∞)(0,∞) with limt→0g′(t)∫0tdsg(s)=−Cg≤0 and the function aa is in Clocα(Ω), 0<α<10<α<1 satisfying 00c1>0 and zz is continuous on [0,η][0,η] for some η>0η>0 such that z(0)=0z(0)=0 and k(t)=c2t−μexp(∫1ty(s)sds), μ≥2μ≥2, c2>0c2>0 and yy is continuous on [1,∞)[1,∞) such that limt→∞y(t)=0limt→∞y(t)=0.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 119, June 2015, Pages 186–198
نویسندگان
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