Monotonicity results in half spaces for quasilinear elliptic equations involving a singular term
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912375260577792 |
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| author | Montoro, Luigi Muglia, Luigi Sciunzi, Berardino |
| author_facet | Montoro, Luigi Muglia, Luigi Sciunzi, Berardino |
| contents | We consider positive solutions to $\displaystyle -Δ_p u=\frac{1}{u^γ}+f(u)$ under zero Dirichlet condition in the half space. Exploiting a prio-ri estimates and the moving plane technique, we prove that any solution is monotone increasing in the direction orthogonal to the boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_20949 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Monotonicity results in half spaces for quasilinear elliptic equations involving a singular term Montoro, Luigi Muglia, Luigi Sciunzi, Berardino Analysis of PDEs 35J60, 35J75, 35B06 We consider positive solutions to $\displaystyle -Δ_p u=\frac{1}{u^γ}+f(u)$ under zero Dirichlet condition in the half space. Exploiting a prio-ri estimates and the moving plane technique, we prove that any solution is monotone increasing in the direction orthogonal to the boundary. |
| title | Monotonicity results in half spaces for quasilinear elliptic equations involving a singular term |
| topic | Analysis of PDEs 35J60, 35J75, 35B06 |
| url | https://arxiv.org/abs/2502.20949 |