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 whole Kazdan-Warner theory, both for the noncritical and the critical case, extends to the present setting.

A note on Kazdan-Warner equation on networks

Camilli F.;Marchi C.
2022

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 whole Kazdan-Warner theory, both for the noncritical and the critical case, extends to the present setting.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/3460461
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