A bifurcation analysis on a nonlocal overdetermined problem
Analysis of PDEs
2024-12-13 v1
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.
Cite
@article{arxiv.2412.09194,
title = {A bifurcation analysis on a nonlocal overdetermined problem},
author = {Kazuki Sato and Futoshi Takahashi},
journal= {arXiv preprint arXiv:2412.09194},
year = {2024}
}
Comments
10 pages