A note on Kazdan-Warner equation on networks
Analysis of PDEs
2019-09-19 v1
Abstract
We investigate the Kazdan-Warner equation on a network. In this case, the differential equation is defined on each edge, while appropriate transition conditions of Kirchhoff type are prescribed at the vertices. We show that the Kazdan-Warner theory extends to the present setting and we study also the critical case.
Keywords
Cite
@article{arxiv.1909.08472,
title = {A note on Kazdan-Warner equation on networks},
author = {Fabio Camilli and Claudio Marchi},
journal= {arXiv preprint arXiv:1909.08472},
year = {2019}
}