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

2022/10/25 by Tetsutaro Shibata, Shibata, Tetsutaro · 2 citations
Computer Science · Engineering · Mathematics · #34C23 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2210.14381

openalex publication_date 2022/10/25 · openalex created_date 2022/11/02 · openalex updated_date 2026/07/28

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_λ(x) as λ→ ∞. Here, λ> 0 is the bifurcation parameter.

Cited by

• Asymptotic formulas for L² bifurcation curves of nonlocal logistic equation of population dynamics
• Asymptotic behavior of bifurcation curves of nonlocal logistic equation of population dynamics

Related

• Exact solutions and bifurcation curves of nonlocal elliptic equations with convolutional Kirchhoff functions
• Global bifurcation curves of nonlocal elliptic equations with oscillatory nonlinear term
• Asymptotic behavior of bifurcation curves of one-dimensional nonlocal elliptic equations
• Asymptotic behavior of bifurcation curves of nonlocal logistic equation of population dynamics
• Asymptotic formulas for L² bifurcation curves of nonlocal logistic equation of population dynamics