Nonlocal Choquard equations involving critical Hardy-Littlewood-Sobolev exponent: the effect of the topology of the domain
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915141938839552 |
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| author | Alghamdi, Mohammed Ali Mohammed Chtioui, Hichem |
| author_facet | Alghamdi, Mohammed Ali Mohammed Chtioui, Hichem |
| contents | We apply a topological method to prove existence of positive solutions for the nonlineair Choquard equation with upper critical exponent in the sense of Hardy-Littlewood-Sobolev inquality on bounded domains having nontrivial homology group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_12950 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonlocal Choquard equations involving critical Hardy-Littlewood-Sobolev exponent: the effect of the topology of the domain Alghamdi, Mohammed Ali Mohammed Chtioui, Hichem Analysis of PDEs Algebraic Topology 35A16 (Primary), 55N10 (Secondary) F.2.2 We apply a topological method to prove existence of positive solutions for the nonlineair Choquard equation with upper critical exponent in the sense of Hardy-Littlewood-Sobolev inquality on bounded domains having nontrivial homology group. |
| title | Nonlocal Choquard equations involving critical Hardy-Littlewood-Sobolev exponent: the effect of the topology of the domain |
| topic | Analysis of PDEs Algebraic Topology 35A16 (Primary), 55N10 (Secondary) F.2.2 |
| url | https://arxiv.org/abs/2412.12950 |