Bounds and critical parameters for a class of non-local problems

Mohammed Al-Refai; Nikos I. Kavallaris

Bounds and critical parameters for a class of non-local problems

Mohammed Al-Refai, Nikos I. Kavallaris

Research output: Contribution to journal › Article › peer-review

Abstract

A non-local elliptic equation, for which comparison methods are applicable, associated with Robin boundary conditions is considered. Upper and lower solutions for this problem are obtained by solving algebraic equations. These upper and lower solutions are used to obtain analytical bounds for the critical (blow-up) parameter of the problem. Numerical results are presented for the slab, cylindrical and spherical geometries. The results are compared with the existing ones in the literature.

Original language	English
Pages (from-to)	1-16
Number of pages	16
Journal	Electronic Journal of Differential Equations
Volume	2006
Publication status	Published - Mar 16 2006
Externally published	Yes

Keywords

Comparison techniques
Non-local elliptic problems

ASJC Scopus subject areas

Analysis

Cite this

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title = "Bounds and critical parameters for a class of non-local problems",

abstract = "A non-local elliptic equation, for which comparison methods are applicable, associated with Robin boundary conditions is considered. Upper and lower solutions for this problem are obtained by solving algebraic equations. These upper and lower solutions are used to obtain analytical bounds for the critical (blow-up) parameter of the problem. Numerical results are presented for the slab, cylindrical and spherical geometries. The results are compared with the existing ones in the literature.",

keywords = "Comparison techniques, Non-local elliptic problems",

author = "Mohammed Al-Refai and Kavallaris, {Nikos I.}",

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AU - Kavallaris, Nikos I.

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N2 - A non-local elliptic equation, for which comparison methods are applicable, associated with Robin boundary conditions is considered. Upper and lower solutions for this problem are obtained by solving algebraic equations. These upper and lower solutions are used to obtain analytical bounds for the critical (blow-up) parameter of the problem. Numerical results are presented for the slab, cylindrical and spherical geometries. The results are compared with the existing ones in the literature.

AB - A non-local elliptic equation, for which comparison methods are applicable, associated with Robin boundary conditions is considered. Upper and lower solutions for this problem are obtained by solving algebraic equations. These upper and lower solutions are used to obtain analytical bounds for the critical (blow-up) parameter of the problem. Numerical results are presented for the slab, cylindrical and spherical geometries. The results are compared with the existing ones in the literature.

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KW - Non-local elliptic problems

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M3 - Article

AN - SCOPUS:33645028495

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JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

Bounds and critical parameters for a class of non-local problems

Abstract

Keywords

ASJC Scopus subject areas

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