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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2407.08266 |
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| _version_ | 1866929417645719552 |
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| author | Ma, Shiguang Wang, Zijian |
| author_facet | Ma, Shiguang Wang, Zijian |
| contents | In this article, we will prove existence results for the equations of the type $-Δ_{N}u=H_{l}(u)+μ$ and $F_{\frac{N}{2}}[-u]=H_{l}(u)+μ$ in a bounded domain $Ω$, with Dirichlet boundary condition, where the source term $H_{l}(r)$ takes the form $e^{r}-\sum_{j=0}^{l-1}\frac{r^{j}}{j!}$ and $μ$ is a nonnegative Radon measure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_08266 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $N$ -Laplacian and $N/2$-Hessian type equations with exponential reaction term and measure data Ma, Shiguang Wang, Zijian Analysis of PDEs 35J60, 35B45 In this article, we will prove existence results for the equations of the type $-Δ_{N}u=H_{l}(u)+μ$ and $F_{\frac{N}{2}}[-u]=H_{l}(u)+μ$ in a bounded domain $Ω$, with Dirichlet boundary condition, where the source term $H_{l}(r)$ takes the form $e^{r}-\sum_{j=0}^{l-1}\frac{r^{j}}{j!}$ and $μ$ is a nonnegative Radon measure. |
| title | $N$ -Laplacian and $N/2$-Hessian type equations with exponential reaction term and measure data |
| topic | Analysis of PDEs 35J60, 35B45 |
| url | https://arxiv.org/abs/2407.08266 |