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.

引用

页码：512 / 524

页数：13

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