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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2411.15227 |
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| _version_ | 1866916938434740224 |
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| author | He, Rongxun Ke, Wei |
| author_facet | He, Rongxun Ke, Wei |
| contents | We consider the uniqueness of the following positive solutions of anisotropic elliptic equation: \begin{equation} \nonumber \left\{ \begin{aligned} -Δ^F_p u&=u^q \quad \text{in} \quad Ω, u&=0 \quad \text{on} \quad \partial Ω, \end{aligned} \right. \end{equation} where $p>\frac{3}{2}$ is a constant. We utilize the linearized method to derive the uniqueness results, which extends the conclusion obtained by L. Brasco and E. Lindgren. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_15227 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Uniqueness of positive solutions for finsler p-Laplacian equations with polynomial non-linearity He, Rongxun Ke, Wei Analysis of PDEs We consider the uniqueness of the following positive solutions of anisotropic elliptic equation: \begin{equation} \nonumber \left\{ \begin{aligned} -Δ^F_p u&=u^q \quad \text{in} \quad Ω, u&=0 \quad \text{on} \quad \partial Ω, \end{aligned} \right. \end{equation} where $p>\frac{3}{2}$ is a constant. We utilize the linearized method to derive the uniqueness results, which extends the conclusion obtained by L. Brasco and E. Lindgren. |
| title | Uniqueness of positive solutions for finsler p-Laplacian equations with polynomial non-linearity |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2411.15227 |