Asymptotic formulas for $L^2$ bifurcation curves of nonlocal logistic equation of population dynamics
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912770628255744 |
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| author | Shibata, Tetsutaro |
| author_facet | Shibata, Tetsutaro |
| contents | The one-dimensional nonlocal Kirchhoff type bifurcation problems which are derived from logistic equation of population dynamics are studied. We obtain the precise asymptotic shapes of $L^2$ bifurcation curves $λ= λ(α)$ as $α\to \infty$, where $α:= \Vert u_λ\Vert_2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_14955 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymptotic formulas for $L^2$ bifurcation curves of nonlocal logistic equation of population dynamics Shibata, Tetsutaro Analysis of PDEs The one-dimensional nonlocal Kirchhoff type bifurcation problems which are derived from logistic equation of population dynamics are studied. We obtain the precise asymptotic shapes of $L^2$ bifurcation curves $λ= λ(α)$ as $α\to \infty$, where $α:= \Vert u_λ\Vert_2$. |
| title | Asymptotic formulas for $L^2$ bifurcation curves of nonlocal logistic equation of population dynamics |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2512.14955 |