Asymptotic behaviour for a class of quasilinear cooperative eigenvalue problems
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866929224227487744 |
|---|---|
| author | Alvarez-Caudevilla, Pablo |
| author_facet | Alvarez-Caudevilla, Pablo |
| contents | This work is devoted to the analysis of the asymptotic behaviour of a parameter dependent quasilinear cooperative eigenvalue system when a parameter in front of some non-negative potentials goes to infinity. In particular we consider operators of $p$-Laplacian type. We prove that the eigenfunctions concentrate on the subdomains where those potentials vanish at the limit, while the eigenvalue approaches to an upper bound that will depend on those subdomains as well. We also show several properties for the unusual limiting problems obtained here. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_14247 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Asymptotic behaviour for a class of quasilinear cooperative eigenvalue problems Alvarez-Caudevilla, Pablo Analysis of PDEs 35J10, 35J47, 35P20, 49R05 This work is devoted to the analysis of the asymptotic behaviour of a parameter dependent quasilinear cooperative eigenvalue system when a parameter in front of some non-negative potentials goes to infinity. In particular we consider operators of $p$-Laplacian type. We prove that the eigenfunctions concentrate on the subdomains where those potentials vanish at the limit, while the eigenvalue approaches to an upper bound that will depend on those subdomains as well. We also show several properties for the unusual limiting problems obtained here. |
| title | Asymptotic behaviour for a class of quasilinear cooperative eigenvalue problems |
| topic | Analysis of PDEs 35J10, 35J47, 35P20, 49R05 |
| url | https://arxiv.org/abs/2401.14247 |