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

Mohammed Al-Refai, Nikos I. Kavallaris

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


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 languageEnglish
Pages (from-to)1-16
Number of pages16
JournalElectronic Journal of Differential Equations
Publication statusPublished - Mar 16 2006
Externally publishedYes


  • Comparison techniques
  • Non-local elliptic problems

ASJC Scopus subject areas

  • Analysis


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