A note on multiple solutions for Kirchhoff-type equations with a Neumann condition
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914168447172608 |
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| author | Ricceri, Biagio |
| author_facet | Ricceri, Biagio |
| contents | Using as a main tool our recent result on the strict minimax inequality proved in [5], in this note we establish a multiplicity theorem for a problem of the type $$\cases{-K\left(\int_Ω|\nabla u(x)|^2dx\right)Δu = h(x,u) & in $Ω$\cr & \cr {{\partial u}\over {\partialν}}=0 & on $\partialΩ$.\cr}$$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_18523 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on multiple solutions for Kirchhoff-type equations with a Neumann condition Ricceri, Biagio Analysis of PDEs Using as a main tool our recent result on the strict minimax inequality proved in [5], in this note we establish a multiplicity theorem for a problem of the type $$\cases{-K\left(\int_Ω|\nabla u(x)|^2dx\right)Δu = h(x,u) & in $Ω$\cr & \cr {{\partial u}\over {\partialν}}=0 & on $\partialΩ$.\cr}$$ |
| title | A note on multiple solutions for Kirchhoff-type equations with a Neumann condition |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2511.18523 |