On the $N$-dimensional Schrödinger--Poisson--Slater equation à la Brezis--Nirenberg
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913832194015232 |
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| author | Perera, Kanishka Silva, Kaye |
| author_facet | Perera, Kanishka Silva, Kaye |
| contents | With aid of the Pohozaev's identity and Nehari manifold, we prove the existence and multiplicity of solutions to $N$-dimensional Schrödinger--Poisson--Slater type equations involving critical exponents, by considering prescribed energy solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_07146 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the $N$-dimensional Schrödinger--Poisson--Slater equation à la Brezis--Nirenberg Perera, Kanishka Silva, Kaye Analysis of PDEs With aid of the Pohozaev's identity and Nehari manifold, we prove the existence and multiplicity of solutions to $N$-dimensional Schrödinger--Poisson--Slater type equations involving critical exponents, by considering prescribed energy solutions. |
| title | On the $N$-dimensional Schrödinger--Poisson--Slater equation à la Brezis--Nirenberg |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2505.07146 |