The energy level transition for nonlinear Kirchhoff equation under a perturbation of potential

• Published in: Annals of physics Vol. 475; p. 169949
• Main Authors: Li, Baihong, Wei, Yuanhong
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.04.2025
• Subjects: Bound state; Energy level transition; Global compactness; Kirchhoff equation; Linking theorem; Global compactness; Kirchhoff equation; Bound state; Linking theorem; Energy level transition

In this paper, we study the energy level transition behavior for the nonlinear Kirchhoff equation with a potential and a pure power nonlinearity. The potential function is assumed to be a perturbation of a positive constant. Under a negative perturbation, the persistence for ground state solution is...