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.
|Number of pages||16|
|Journal||Electronic Journal of Differential Equations|
|Publication status||Published - Mar 16 2006|
- Comparison techniques
- Non-local elliptic problems
ASJC Scopus subject areas