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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.09853 |
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| _version_ | 1866912480939212800 |
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| author | Carl, Siegfried Perera, Kanishka Tehrani, Hossein |
| author_facet | Carl, Siegfried Perera, Kanishka Tehrani, Hossein |
| contents | We prove new multiplicity results for some nonlocal critical growth elliptic equations in homogeneous fractional Sobolev spaces. The proofs are based on an abstract critical point theorem based on the ${\mathbb Z}_2$-cohomological index and on a novel regularity result for fractional $p$-Laplacian equations as well as on some compact embeddings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_09853 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nonlocal critical elliptic equations in homogeneous fractional Sobolev spaces Carl, Siegfried Perera, Kanishka Tehrani, Hossein Analysis of PDEs Primary 35R11, Secondary 35B33, 35A15 We prove new multiplicity results for some nonlocal critical growth elliptic equations in homogeneous fractional Sobolev spaces. The proofs are based on an abstract critical point theorem based on the ${\mathbb Z}_2$-cohomological index and on a novel regularity result for fractional $p$-Laplacian equations as well as on some compact embeddings. |
| title | Nonlocal critical elliptic equations in homogeneous fractional Sobolev spaces |
| topic | Analysis of PDEs Primary 35R11, Secondary 35B33, 35A15 |
| url | https://arxiv.org/abs/2507.09853 |