The obstacle problem for singular quasi-linear elliptic equations
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914528032194560 |
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| author | Barbagallo, Annamaria Guarnotta, Umberto |
| author_facet | Barbagallo, Annamaria Guarnotta, Umberto |
| contents | Existence of solutions to an obstacle $p$-Laplacian problem exhibiting a singular, discontinuous reaction is proved. The reaction term may be discontinuous in a Lebesgue-negligible set. Moreover, solutions are shown to be locally $C^{1,α}$ far away from the contact set. Under a differentiability hypothesis on the obstacle, solutions belong to $C^{1,α}(\overlineΩ)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_02562 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The obstacle problem for singular quasi-linear elliptic equations Barbagallo, Annamaria Guarnotta, Umberto Analysis of PDEs Existence of solutions to an obstacle $p$-Laplacian problem exhibiting a singular, discontinuous reaction is proved. The reaction term may be discontinuous in a Lebesgue-negligible set. Moreover, solutions are shown to be locally $C^{1,α}$ far away from the contact set. Under a differentiability hypothesis on the obstacle, solutions belong to $C^{1,α}(\overlineΩ)$. |
| title | The obstacle problem for singular quasi-linear elliptic equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2605.02562 |