On computation of bounds of the bifurcation parameter for a non-local elliptic equation with increasing nonlinearity

被引：1
|
作者：
Al-Refai, Mohammed [1 ]
Kavallaris, Nikos I. [2 ,3 ]
机构：
[1] UAE Univ, Dept Math Sci, Al Ain, U Arab Emirates
[2] Univ Aegean, Dept Stat & Actuarial Financial Math, Samos, Greece
[3] Rochester Inst Technol, Dept Math, Dubai, U Arab Emirates
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2013年 / 66卷 / 04期
关键词：
Non-local elliptic problems; Bifurcation parameters; Moving plane method; BLOW-UP; PARABOLIC PROBLEMS; DIFFUSION; TIME;
D O I：
10.1016/j.camwa.2013.05.020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A novel approach is developed to prove the existence of delta*, the supremum of the spectrum of a non-local elliptic problem associated with homogeneous Robin and Dirichlet boundary conditions. Analytical upper and lower bounds of delta* are obtained in closed form. The bounds are presented for the slab, cylindrical and spherical geometries. (C) 2013 Elsevier Ltd. All rights reserved.
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页码：512 / 524
页数：13
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