$H^2$-regularity on convex domains for Robin eigenfunctions with parameter of arbitrary sign
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915405120929792 |
|---|---|
| author | Lamberti, Pier Domenico Provenzano, Luigi |
| author_facet | Lamberti, Pier Domenico Provenzano, Luigi |
| contents | We prove that the Robin eigenfunctions on convex domains of $\mathbb R^n$ are $H^2$ regular regardless of the sign of the parameter involved in the boundary conditions. The proof is an adaptation of a classical argument used in the case of positive parameters combined with a Rellich-Pohozaev identity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_16726 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $H^2$-regularity on convex domains for Robin eigenfunctions with parameter of arbitrary sign Lamberti, Pier Domenico Provenzano, Luigi Analysis of PDEs 35B65, 35P15, 35P05 We prove that the Robin eigenfunctions on convex domains of $\mathbb R^n$ are $H^2$ regular regardless of the sign of the parameter involved in the boundary conditions. The proof is an adaptation of a classical argument used in the case of positive parameters combined with a Rellich-Pohozaev identity. |
| title | $H^2$-regularity on convex domains for Robin eigenfunctions with parameter of arbitrary sign |
| topic | Analysis of PDEs 35B65, 35P15, 35P05 |
| url | https://arxiv.org/abs/2507.16726 |