A note on Kazdan-Warner equation on networks

被引：5

作者：

Camilli, Fabio ^{[3
]}

Marchi, Claudio ^{[1
,2
]}

机构：

[1] Univ Padua, Dipartimento Ingn Informaz, Via Gradenigo 6-B, I-35131 Padua, Italy

[2] Univ Padua, Dipartimento Matemat Tullio Levi Civita, Via Gradenigo 6-B, I-35131 Padua, Italy

[3] Sapienza Univ Roma, Dipartimento Sci Base & Applicate Ingn, Via Scarpa 16, I-00161 Rome, Italy

来源：

ADVANCES IN CALCULUS OF VARIATIONS | 2022年 / 15卷 / 04期

关键词：

Kazdan-Warner equation; network; Kirchhoff condition; MEAN-FIELD GAMES; DIFFUSION-PROCESSES; CURVATURE; GRAPHS;

D O I：

10.1515/acv-2020-0046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：693 / 704

页数：12

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