Bifurcation analysis for nonlocal one-dimensional boundary blow up problems
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915035187511296 |
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| author | Sato, Kazuki Takahashi, Futoshi |
| author_facet | Sato, Kazuki Takahashi, Futoshi |
| contents | In this paper, we study one-dimensional boundary blow up problems with Kirchhoff type nonlocal terms on an interval. We perform a bifurcation analysis on the problems and obtain the precise number of solutions according to the value of the bifurcation parameter. We also obtain the precise asymptotic formula for solutions for special cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_10802 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bifurcation analysis for nonlocal one-dimensional boundary blow up problems Sato, Kazuki Takahashi, Futoshi Analysis of PDEs Classical Analysis and ODEs 34C23, 37G99 In this paper, we study one-dimensional boundary blow up problems with Kirchhoff type nonlocal terms on an interval. We perform a bifurcation analysis on the problems and obtain the precise number of solutions according to the value of the bifurcation parameter. We also obtain the precise asymptotic formula for solutions for special cases. |
| title | Bifurcation analysis for nonlocal one-dimensional boundary blow up problems |
| topic | Analysis of PDEs Classical Analysis and ODEs 34C23, 37G99 |
| url | https://arxiv.org/abs/2411.10802 |