Bifurcation analysis for nonlocal one-dimensional boundary blow up problems
Analysis of PDEs
2024-11-27 v2 Classical Analysis and ODEs
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.
Cite
@article{arxiv.2411.10802,
title = {Bifurcation analysis for nonlocal one-dimensional boundary blow up problems},
author = {Kazuki Sato and Futoshi Takahashi},
journal= {arXiv preprint arXiv:2411.10802},
year = {2024}
}
Comments
Typos are fixed. Submitted version