A simple proof of attainability for the Sobolev inequality
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866929514994466816 |
|---|---|
| author | Sano, Megumi |
| author_facet | Sano, Megumi |
| contents | We give a simple proof of the existence of a minimizer for the Sobolev inequality. Our proof is based on a representation formula via a cut-off fundamental solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_16567 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A simple proof of attainability for the Sobolev inequality Sano, Megumi Functional Analysis Analysis of PDEs We give a simple proof of the existence of a minimizer for the Sobolev inequality. Our proof is based on a representation formula via a cut-off fundamental solution. |
| title | A simple proof of attainability for the Sobolev inequality |
| topic | Functional Analysis Analysis of PDEs |
| url | https://arxiv.org/abs/2409.16567 |