Asymptotics of solution curves of Kirchhoff type elliptic equations with logarithmic Kirchhoff function

Tetsutaro Shibata

Asymptotics of solution curves of Kirchhoff type elliptic equations with logarithmic Kirchhoff function

Analysis of PDEs 2022-10-27 v1

Authors: Tetsutaro Shibata

Abstract

We study the one-dimensional nonlocal elliptic equation of Kirchhoff type with logarithmic Kirchhoff function. We establish the precise asymptotic formulas for the solution $u_\lambda(x)$ as $\lambda \to \infty$ . Here, $\lambda > 0$ is the bifurcation parameter.

Keywords

Kirchhoff type elliptic equation logarithmic Kirchhoff function asymptotic formula bifurcation parameter nonlocal elliptic equation

Cite

@article{arxiv.2210.14381,
  title  = {Asymptotics of solution curves of Kirchhoff type elliptic equations with logarithmic Kirchhoff function},
  author = {Tetsutaro Shibata},
  journal= {arXiv preprint arXiv:2210.14381},
  year   = {2022}
}

Related papers

View all related →