کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
841078 | 908499 | 2012 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A boundary blow-up problem with a nonlocal reaction
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A boundary blow-up problem with a nonlocal reaction A boundary blow-up problem with a nonlocal reaction](/preview/png/841078.png)
چکیده انگلیسی
In this paper we deal with several kinds of boundary blow-up problems whose main feature is exhibiting a nonlocal reaction term which depends on the integral of some function of the concentration uu. As a representative of such problems we consider {Δu=λf(u)1+1∣Ω∣∫Ωg(u)in Ωu=∞on ∂Ω, where ΩΩ is a bounded smooth domain of RNRN and the boundary condition is understood as u(x)→∞u(x)→∞ when dist(x,∂Ω)→0dist(x,∂Ω)→0. We find necessary and sufficient conditions for the existence of positive solutions. In some cases, we also obtain uniqueness or multiplicity of solutions. Other classes of nonlocal dependence of the reaction term are also discussed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 5, March 2012, Pages 2774–2792
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 5, March 2012, Pages 2774–2792
نویسندگان
Jorge García-Melián, José C. Sabina de Lis,