On the perturbed Gelfand equation from combustion theory
Analysis of PDEs
2016-12-23 v1 Mathematical Physics
math.MP
Abstract
For the perturbed Gelfand's equation on the unit ball in two dimensions, Y. Du and Y. Lou [4] proved that the curve of positive solutions is exactly -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].
Keywords
Cite
@article{arxiv.1612.07722,
title = {On the perturbed Gelfand equation from combustion theory},
author = {Philip Korman and Yi Li and Tiancheng Ouyang},
journal= {arXiv preprint arXiv:1612.07722},
year = {2016}
}
Comments
14 pages, 2 figures