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
| File | Dimensione | Formato | |
|---|---|---|---|
|
Camilli_Kazdan–Warner equation_2022.pdf
accesso aperto
Tipologia:
Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
772.38 kB
Formato
Adobe PDF
|
772.38 kB | Adobe PDF |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
