On a Sobolev-type inequality and its minimizers
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909232062791680 |
|---|---|
| author | de Oliveira, José Francisco Silva, Jeferson |
| author_facet | de Oliveira, José Francisco Silva, Jeferson |
| contents | Critical Sobolev-type inequality for a class of weighted Sobolev spaces on the entire space is established. We also investigate the existence of extremal function for the associated variational problem. As an application, we prove the existence of a weak solution for a general class of critical semilinear elliptic equations related to the polyharmonic operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_10483 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On a Sobolev-type inequality and its minimizers de Oliveira, José Francisco Silva, Jeferson Analysis of PDEs 46E35, 35J35, 35J61, 35B33 Critical Sobolev-type inequality for a class of weighted Sobolev spaces on the entire space is established. We also investigate the existence of extremal function for the associated variational problem. As an application, we prove the existence of a weak solution for a general class of critical semilinear elliptic equations related to the polyharmonic operator. |
| title | On a Sobolev-type inequality and its minimizers |
| topic | Analysis of PDEs 46E35, 35J35, 35J61, 35B33 |
| url | https://arxiv.org/abs/2307.10483 |