A general existence result for stationary solutions to the Keller-Segel system
Analysis of PDEs
2018-12-11 v2
Abstract
We consider a Liouville-type PDE on a smooth bounded planar domain, which is related to stationary solutions of the Keller-Segel's model for chemotaxis. We prove existence of solutions under some algebraic conditions on the parameters. In particular, if the domain is not simply connected, then we can find solution for a generic choice of the parameters. We use variational and Morse-theoretical methods.
Keywords
Cite
@article{arxiv.1802.02551,
title = {A general existence result for stationary solutions to the Keller-Segel system},
author = {Luca Battaglia},
journal= {arXiv preprint arXiv:1802.02551},
year = {2018}
}
Comments
21 pages, accepted on Discrete and Continuous Dynamical Systems