Bifurcation analysis for nonlocal one-dimensional boundary blow up problems

Kazuki Sato; Futoshi Takahashi

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arXiv · 2411.10802

Bifurcation analysis for nonlocal one-dimensional boundary blow up problems

Kazuki Sato·Futoshi Takahashi

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Abstract

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.

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Kazuki Sato, Futoshi Takahashi. 2024-11-16. Bifurcation analysis for nonlocal one-dimensional boundary blow up problems. https://arxiv.org/abs/2411.10802

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