Non-uniqueness of blowing-up solutions to the Gelfand problem
Analysis of PDEs
2019-09-04 v2
Abstract
We consider the Gelfand problem on a planar domain. Under some conditions on the potential, we provide the first examples of multiplicity for blowing-up solutions at a given point in the domain. The argument is based on a refined Lyapunov-Schmidt reduction and the computation of the degree of a finite-dimensional map.
Keywords
Cite
@article{arxiv.1902.03484,
title = {Non-uniqueness of blowing-up solutions to the Gelfand problem},
author = {Luca Battaglia and Massimo Grossi and Angela Pistoia},
journal= {arXiv preprint arXiv:1902.03484},
year = {2019}
}
Comments
25 pages