Non-uniqueness of blowing-up solutions to the Gelfand problem
arXiv:1902.03484
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.
25 pages