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On computation of bounds of the bifurcation parameter for a non-local elliptic equation with increasing nonlinearity
UAE University, ARE.
University of Aegean, GRC; Rochester Institute of Technology, ARE.ORCID iD: 0000-0002-9743-8636
2013 (English)In: Computers and Mathematics with Applications, ISSN 0898-1221, E-ISSN 1873-7668, Vol. 66, no 4, p. 512-524Article in journal (Refereed) Published
Abstract [en]

A novel approach is developed to prove the existence of δ∗, the supremum of the spectrumof a non-local elliptic problem associated with homogeneous Robin and Dirichlet boundaryconditions. Analytical upper and lower bounds of δ∗are obtained in closed form. Thebounds are presented for the slab, cylindrical and spherical geometries.

Place, publisher, year, edition, pages
Elsevier, 2013. Vol. 66, no 4, p. 512-524
Keywords [en]
Non-local elliptic problems, Bifurcation parameters, Moving plane method
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-88613DOI: 10.1016/j.camwa.2013.05.020ISI: 000323018500008Scopus ID: 2-s2.0-84879095414OAI: oai:DiVA.org:kau-88613DiVA, id: diva2:1638720
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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