A note on Kazdan-Warner equation on networks

Published 18 Sep 2019 in math.AP | (1909.08472v1)

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.

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