A Nehari manifold method for nonvariational problems
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908696519376896 |
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| author | Precup, Radu Stan, Andrei |
| author_facet | Precup, Radu Stan, Andrei |
| contents | The aim of this paper is to extend the Nehari manifold method from the variational setting to the nonvariational framework of fixed point equations. This is achieved by constructing a radial energy functional that generalizes the standard one from the variational case. Furthermore, the solutions obtained through our method are localized in conical annular sets, which leads to the existence of multiple solutions. The abstract results are illustrated by two representative applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_05055 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Nehari manifold method for nonvariational problems Precup, Radu Stan, Andrei Analysis of PDEs Functional Analysis The aim of this paper is to extend the Nehari manifold method from the variational setting to the nonvariational framework of fixed point equations. This is achieved by constructing a radial energy functional that generalizes the standard one from the variational case. Furthermore, the solutions obtained through our method are localized in conical annular sets, which leads to the existence of multiple solutions. The abstract results are illustrated by two representative applications. |
| title | A Nehari manifold method for nonvariational problems |
| topic | Analysis of PDEs Functional Analysis |
| url | https://arxiv.org/abs/2512.05055 |