Bounds and critical parameters for a class of non-local problems
Date
2006-03-16
Authors
Al-Refai, Mohammed
Kavallaris, Nikos I.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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.
Description
Keywords
Non-local elliptic problems, Comparison techniques
Citation
Al-Refai, M., Kavallaris, N. I. (2006). Bounds and critical parameters for a class of non-local problems. <i>Electronic Journal of Differential Equations, 2006</i>(29), pp. 1-16.
Rights
Attribution 4.0 International