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Exact solution structures on some nonlocal overdetermined problems
Kazuki Sato, Futoshi Takahashi
In this paper, we study the solution structures of Serrin-type overdetermined problems with Kirchhoff-type nonlocal terms. We prove that the exact number of solutions is the same a…
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…
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…
Notes on asymptotic behavior of radial solutions for some weighted elliptic equations on the annulus
Futoshi Takahashi
In this paper, we study the asymptotic behavior of radial solutions for several weighted elliptic equations with power type or exponential type nonlinearities on an annulus.
One-dimensional boundary blow up problem with a nonlocal term
Taketo Inaba, Futoshi Takahashi
In this paper, we study a nonlocal boundary blow up problem on an interval and obtain the precise asymptotic formula for solutions when the bifurcation parameter in the problem is…