On the Fountain Theorem for Continuous Functionals and Its Application to a Semilinear Elliptic Problem in $\mathbb{R}^2$
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866910155239587840 |
|---|---|
| author | Songo, Ablanvi Colin, Fabrice |
| author_facet | Songo, Ablanvi Colin, Fabrice |
| contents | In this work, we establish a continuous version of the Fountain theorem by using the framework of the weak slope for continuous functionals, which generalizes Theorem 3.6 of Willem \cite{Wi}. Then we present an application to a semilinear problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_16059 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Fountain Theorem for Continuous Functionals and Its Application to a Semilinear Elliptic Problem in $\mathbb{R}^2$ Songo, Ablanvi Colin, Fabrice Analysis of PDEs 2020: 35A15, 35J61, 58E05 In this work, we establish a continuous version of the Fountain theorem by using the framework of the weak slope for continuous functionals, which generalizes Theorem 3.6 of Willem \cite{Wi}. Then we present an application to a semilinear problem. |
| title | On the Fountain Theorem for Continuous Functionals and Its Application to a Semilinear Elliptic Problem in $\mathbb{R}^2$ |
| topic | Analysis of PDEs 2020: 35A15, 35J61, 58E05 |
| url | https://arxiv.org/abs/2509.16059 |