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.. - In: ADVANCES IN CALCULUS OF VARIATIONS. - ISSN 1864-8258. - 15:4(2022), pp. 693-704. [10.1515/acv-2020-0046]
A note on Kazdan-Warner equation on networks
Camilli F.;
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.File allegati a questo prodotto
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