Existence and uniqueness of weak solutions to singular anisotropic elliptic problems
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908950703636480 |
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| author | Esposito, Francesco Oliva, Francescantonio Vecchi, Eugenio |
| author_facet | Esposito, Francesco Oliva, Francescantonio Vecchi, Eugenio |
| contents | In this paper we consider a quasilinear singular anisotropic elliptic problem with a p-sublinear perturbation. We prove uniqueness of weak solutions and we provide necessary and sufficient conditions for the existence of weak solutions in the same spirit of the celebrated paper by Lazer and McKenna. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_08733 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Existence and uniqueness of weak solutions to singular anisotropic elliptic problems Esposito, Francesco Oliva, Francescantonio Vecchi, Eugenio Analysis of PDEs 35J75, 35J70, 35J92, 35A02, 35B09, 35B51 In this paper we consider a quasilinear singular anisotropic elliptic problem with a p-sublinear perturbation. We prove uniqueness of weak solutions and we provide necessary and sufficient conditions for the existence of weak solutions in the same spirit of the celebrated paper by Lazer and McKenna. |
| title | Existence and uniqueness of weak solutions to singular anisotropic elliptic problems |
| topic | Analysis of PDEs 35J75, 35J70, 35J92, 35A02, 35B09, 35B51 |
| url | https://arxiv.org/abs/2604.08733 |