On Coron problems with Choquard term and mixed operator
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866914445895139328 |
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| author | Giacomoni, Jacques Mukherjee, Tuhina Sharma, Lovelesh |
| author_facet | Giacomoni, Jacques Mukherjee, Tuhina Sharma, Lovelesh |
| contents | In this article, we study a Coron-type problem involving a critical Choquard nonlinearity driven by a mixed operator combining the Laplacian and fractional Laplacian. In annular-type domains, we prove the existence of nontrivial positive solutions when the inner hole is sufficiently small. Using variational methods and concentration compactness arguments, we establish a global compactness result for Palais- Smale sequences and obtain high-energy solutions using topological methods. We also derive regularity results for weak solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_03752 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On Coron problems with Choquard term and mixed operator Giacomoni, Jacques Mukherjee, Tuhina Sharma, Lovelesh Analysis of PDEs 35A01, 35A15, 35B33, 35B65 In this article, we study a Coron-type problem involving a critical Choquard nonlinearity driven by a mixed operator combining the Laplacian and fractional Laplacian. In annular-type domains, we prove the existence of nontrivial positive solutions when the inner hole is sufficiently small. Using variational methods and concentration compactness arguments, we establish a global compactness result for Palais- Smale sequences and obtain high-energy solutions using topological methods. We also derive regularity results for weak solutions. |
| title | On Coron problems with Choquard term and mixed operator |
| topic | Analysis of PDEs 35A01, 35A15, 35B33, 35B65 |
| url | https://arxiv.org/abs/2604.03752 |