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Bounds and critical parameters for a class of non-local problems
Jordan University of Science and Technology, JOR.
National Technical University of Athens, GRC.ORCID iD: 0000-0002-9743-8636
2006 (English)In: Electronic Journal of Differential Equations, ISSN 1550-6150, E-ISSN 1072-6691, Vol. 2006, p. 1-16, article id 29Article in journal (Refereed) Published
Abstract [en]

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

Place, publisher, year, edition, pages
2006. Vol. 2006, p. 1-16, article id 29
Keywords [en]
Elliptic equations; Boundary value problems; Equations; Numerical analysis; Geometry
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-88624ISI: 000208974000029OAI: oai:DiVA.org:kau-88624DiVA, id: diva2:1638744
Available from: 2022-02-17 Created: 2022-02-17 Last updated: 2022-11-21Bibliographically approved

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Kavallaris, Nikos I.

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