An infinite-dimensional mountain pass theorem with applications to nonlinear elliptic systems
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908985251069952 |
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| author | Songo, Ablanvi Colin, Fabrice |
| author_facet | Songo, Ablanvi Colin, Fabrice |
| contents | The purpose of this paper is to establish a critical point theorem, which is an infinite-dimensional generalization of the classical generalized Mountain Pass Theorem of P. H. Rabinowitz \cite[Theorem 5.3]{Ra}. As application, we obtain the existence of at least one solution to a semilinear elliptic systems with indefinite weights in $\mathbb{R}^2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_02229 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An infinite-dimensional mountain pass theorem with applications to nonlinear elliptic systems Songo, Ablanvi Colin, Fabrice Analysis of PDEs 35A15, 35J61, 58E05 The purpose of this paper is to establish a critical point theorem, which is an infinite-dimensional generalization of the classical generalized Mountain Pass Theorem of P. H. Rabinowitz \cite[Theorem 5.3]{Ra}. As application, we obtain the existence of at least one solution to a semilinear elliptic systems with indefinite weights in $\mathbb{R}^2$. |
| title | An infinite-dimensional mountain pass theorem with applications to nonlinear elliptic systems |
| topic | Analysis of PDEs 35A15, 35J61, 58E05 |
| url | https://arxiv.org/abs/2512.02229 |