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math.AP2024
A bifurcation analysis on a nonlocal overdetermined problem
Kazuki Sato, Futoshi Takahashi
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 t…
math.AP2024★ 1 cited
Bifurcation analysis for nonlocal one-dimensional boundary blow up problems
Kazuki Sato, Futoshi Takahashi
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 th…