Bifurcation analysis for nonlocal one-dimensional boundary blow up problems

Autor: Sato, Kazuki, Takahashi, Futoshi
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: Typos are fixed. Submitted version
Databáze: arXiv