Phragmèn-Lindelöf type theorems for elliptic equations on infinite graphs
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916299677892608 |
|---|---|
| author | Biagi, Stefano Punzo, Fabio |
| author_facet | Biagi, Stefano Punzo, Fabio |
| contents | We investigate the validity of the Phragmèn-Lindelöf principle for a class of elliptic equations with a potential, posed on infinite graphs. Consequently, we get uniqueness, in the class of solutions satisfying a suitable growth condition at infinity. We suppose that the {\it outer degree (or outer curvature)} of the graph is bounded from above, and we allow the potential to go to zero at infinity in a controlled way. Finally, we discuss the optimality of the conditions on the potential and on the outer degree on special graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_06505 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Phragmèn-Lindelöf type theorems for elliptic equations on infinite graphs Biagi, Stefano Punzo, Fabio Analysis of PDEs We investigate the validity of the Phragmèn-Lindelöf principle for a class of elliptic equations with a potential, posed on infinite graphs. Consequently, we get uniqueness, in the class of solutions satisfying a suitable growth condition at infinity. We suppose that the {\it outer degree (or outer curvature)} of the graph is bounded from above, and we allow the potential to go to zero at infinity in a controlled way. Finally, we discuss the optimality of the conditions on the potential and on the outer degree on special graphs. |
| title | Phragmèn-Lindelöf type theorems for elliptic equations on infinite graphs |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2406.06505 |