Fully nonlinear logistic equations with sanctuary
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866910090040180736 |
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| author | Birindelli, Isabeau Galise, Giulio Leoni, Fabiana |
| author_facet | Birindelli, Isabeau Galise, Giulio Leoni, Fabiana |
| contents | For the fully nonlinear stationary logistic equation ${\mathcal F}(x,D^2u)+μu=k(x)u^p$ with $p>1$ and $k(x)\geq 0$, in a bounded domain with Dirichlet boundary condition, we determine, in terms of $μ$, the existence and uniqueness or the nonexistence of a positive solution. Furthermore, we study the asymptotic behavior of the solutions when $μ$ approaches the boundary points of the existence range. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_29885 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Fully nonlinear logistic equations with sanctuary Birindelli, Isabeau Galise, Giulio Leoni, Fabiana Analysis of PDEs 35J60, 35D40, 35P30 For the fully nonlinear stationary logistic equation ${\mathcal F}(x,D^2u)+μu=k(x)u^p$ with $p>1$ and $k(x)\geq 0$, in a bounded domain with Dirichlet boundary condition, we determine, in terms of $μ$, the existence and uniqueness or the nonexistence of a positive solution. Furthermore, we study the asymptotic behavior of the solutions when $μ$ approaches the boundary points of the existence range. |
| title | Fully nonlinear logistic equations with sanctuary |
| topic | Analysis of PDEs 35J60, 35D40, 35P30 |
| url | https://arxiv.org/abs/2603.29885 |