Asymptotics of Solution Curves of Kirchhoff Type Elliptic Equations with Logarithmic Kirchhoff Function

• Tetsutaro Shibata ^[1]
  1. [1] Hiroshima University

     Hiroshima University

     Naka-ku, Japón

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 2, 2023
• Idioma: inglés
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• Resumen

  • We study the one-dimensional nonlocal elliptic equation of Kirchhoff type with logarithmic Kirchhoff function. We establish the precise asymptotic formulas for the solution uλ(x) as λ → ∞. Here, λ > 0 is the bifurcation parameter.