Prescribed energy solutions to some scaled problems via a scaled Nehari manifold
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866913742303789056 |
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| author | Perera, Kanishka Silva, Kaye |
| author_facet | Perera, Kanishka Silva, Kaye |
| contents | We prove the existence, multiplicity, and bifurcation of solutions with prescribed energy for a broad class of scaled problems by introducing a suitable notion of scaling based Nehari manifold. Applications are given to Schrödinger--Poisson--Slater type equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_13648 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Prescribed energy solutions to some scaled problems via a scaled Nehari manifold Perera, Kanishka Silva, Kaye Analysis of PDEs We prove the existence, multiplicity, and bifurcation of solutions with prescribed energy for a broad class of scaled problems by introducing a suitable notion of scaling based Nehari manifold. Applications are given to Schrödinger--Poisson--Slater type equations. |
| title | Prescribed energy solutions to some scaled problems via a scaled Nehari manifold |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2503.13648 |