A bifurcation analysis on a nonlocal overdetermined problem

Kazuki Sato; Futoshi Takahashi

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arXiv · 2412.09194

A bifurcation analysis on a nonlocal overdetermined problem

Kazuki Sato·Futoshi Takahashi

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Abstract

In this paper, we study an overdetermined problem with Kirchhoff type nonlocal terms related to the celebrated work by Serrin. We obtain the precise number of solutions according to the value of the bifurcation parameter and study asymptotics of bifurcation curves of solutions when the bifurcation parameter is large in some cases.

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Kazuki Sato, Futoshi Takahashi. 2024-12-12. A bifurcation analysis on a nonlocal overdetermined problem. https://arxiv.org/abs/2412.09194

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