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arxiv: 1909.08472 · v1 · pith:TIKAQGLWnew · submitted 2019-09-18 · 🧮 math.AP

A note on Kazdan-Warner equation on networks

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keywords equationkazdan-warnercaseappropriateconditionscriticaldefineddifferential
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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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