| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5774027 | Journal of Differential Equations | 2017 | 12 Pages |
Abstract
For the perturbed Gelfand's equation on the unit ball in two dimensions, Y. Du and Y. Lou [5] proved that the curve of positive solutions is exactly S-shaped, for sufficiently small values of the secondary parameter. We present a simplified proof and some extensions. This problem is prominent in combustion theory, see e.g., the book of J. Bebernes and D. Eberly [1].
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Philip Korman, Yi Li, Tiancheng Ouyang,