A note on Kazdan–Warner equation on networks-Reference-Cited by-同舟云学术

A note on Kazdan–Warner equation on networks

Published:2020-10-22 Issue:0 Volume:0 Page:
ISSN:1864-8266
Container-title:Advances in Calculus of Variations
language:en
Short-container-title:

Author:

Camilli Fabio¹,Marchi Claudio²^ORCID

Affiliation:

1. Dipartimento di Scienze di Base e Applicate per l’Ingegneria , Sapienza Università di Roma , via Scarpa 16, 00161 Roma , Italy

2. Dipartimento di Ingegneria dell’Informazione & Dipartimento di Matematica “Tullio Levi-Civita” , Università di Padova , via Gradenigo 6/B, 35131 Padova , Italy

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/acv-2020-0046/pdf

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