Exact solutions and bifurcation curves of nonlocal elliptic equations with convolutional Kirchhoff functions
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929284323475456 |
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| author | Shibata, Tetsutaro |
| author_facet | Shibata, Tetsutaro |
| contents | We study the one-dimensional nonlocal elliptic equation of Kirchhoff type with convolutional Kirchhoff functions. We establish the exact solutions $u_λ$ and bifurcation curves $λ(α)$, where $α:= \Vert u_λ\Vert_\infty$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_14052 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exact solutions and bifurcation curves of nonlocal elliptic equations with convolutional Kirchhoff functions Shibata, Tetsutaro Analysis of PDEs 34C23 We study the one-dimensional nonlocal elliptic equation of Kirchhoff type with convolutional Kirchhoff functions. We establish the exact solutions $u_λ$ and bifurcation curves $λ(α)$, where $α:= \Vert u_λ\Vert_\infty$. |
| title | Exact solutions and bifurcation curves of nonlocal elliptic equations with convolutional Kirchhoff functions |
| topic | Analysis of PDEs 34C23 |
| url | https://arxiv.org/abs/2403.14052 |