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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.16575 |
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| _version_ | 1866914704473980928 |
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| author | Eichmann, Sascha |
| author_facet | Eichmann, Sascha |
| contents | We are looking for an optimal convex domain on which the boundary value problem $$\left\{\begin{array}{cc}(-Δ)^2 u_γ-γΔu_γ= f,& \mbox{ in }Ω\\ u_γ=\partial_νu_γ=0,& \mbox{ on }\partialΩ\end{array}\right.$$ admits a nonnegative solution for the most $γ$, if $f$ is a given nonnegative function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_16575 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Optimal shapes for positivity preserving Eichmann, Sascha Analysis of PDEs We are looking for an optimal convex domain on which the boundary value problem $$\left\{\begin{array}{cc}(-Δ)^2 u_γ-γΔu_γ= f,& \mbox{ in }Ω\\ u_γ=\partial_νu_γ=0,& \mbox{ on }\partialΩ\end{array}\right.$$ admits a nonnegative solution for the most $γ$, if $f$ is a given nonnegative function. |
| title | Optimal shapes for positivity preserving |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2402.16575 |