Global bifurcation curves of nonlocal elliptic equations with oscillatory nonlinear term

Autor:	Shibata, Tetsutaro
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs Mathematics - Spectral Theory 34C23
Druh dokumentu:	Working Paper
Popis:	We study the one-dimensional nonlocal elliptic equation of Kirchhoff type with oscillatory nonlinear term. We establish the precise asymptotic formulas for the bifurcation curves $\lambda(\alpha)$ as $\alpha \to \infty$ and $\alpha \to 0$, where $\alpha:= \Vert u_\lambda\Vert_\infty$ and $u_\lambda$ is the solution associated with $\lambda$. We show that the second term of $\lambda(\alpha)$ is oscillatory as $\alpha \to \infty$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.14714 Zobrazit plný text záznamu View this record from Arxiv