Nonexistence results for a degenerate Goursat type Problem
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866917829650939904 |
|---|---|
| author | Peña, Carlos Alberto Reyes Miyagaki, Olimpio Hiroshi Rodrigues, Rodrigo da Silva |
| author_facet | Peña, Carlos Alberto Reyes Miyagaki, Olimpio Hiroshi Rodrigues, Rodrigo da Silva |
| contents | For a generalization of the Gellerstedt operator with Dirichlet boundary conditions in a Tricomi domain. We establish Pohožaev-type identities and prove the nonexistence of nontrivial regular solutions. Furthermore, we investigate the critical exponent phenomenon for power-type nonlinearities, characterized by the critical exponent of a weighted Sobolev embedding. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_03970 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonexistence results for a degenerate Goursat type Problem Peña, Carlos Alberto Reyes Miyagaki, Olimpio Hiroshi Rodrigues, Rodrigo da Silva Analysis of PDEs Functional Analysis For a generalization of the Gellerstedt operator with Dirichlet boundary conditions in a Tricomi domain. We establish Pohožaev-type identities and prove the nonexistence of nontrivial regular solutions. Furthermore, we investigate the critical exponent phenomenon for power-type nonlinearities, characterized by the critical exponent of a weighted Sobolev embedding. |
| title | Nonexistence results for a degenerate Goursat type Problem |
| topic | Analysis of PDEs Functional Analysis |
| url | https://arxiv.org/abs/2411.03970 |