Existence result for a system of two semilinear coupled Poisson equations with asymptotically linear nonlinearities
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915517177004032 |
|---|---|
| author | Songo, Ablanvi |
| author_facet | Songo, Ablanvi |
| contents | We establish the existence of at least one solution to a system of two semilinear coupled Poisson equations with asymptotically linear nonlinearities, without imposing the Ambrosetti-Rabinowitz condition or any of its refinements. The proof relies on a generalized saddle point theorem due to Colin and the author \cite{CS}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_22899 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Existence result for a system of two semilinear coupled Poisson equations with asymptotically linear nonlinearities Songo, Ablanvi Analysis of PDEs 35A15, 35J61, 58E05 We establish the existence of at least one solution to a system of two semilinear coupled Poisson equations with asymptotically linear nonlinearities, without imposing the Ambrosetti-Rabinowitz condition or any of its refinements. The proof relies on a generalized saddle point theorem due to Colin and the author \cite{CS}. |
| title | Existence result for a system of two semilinear coupled Poisson equations with asymptotically linear nonlinearities |
| topic | Analysis of PDEs 35A15, 35J61, 58E05 |
| url | https://arxiv.org/abs/2509.22899 |