A bifurcation-type result for Kirchhoff equations

Liu, Jiu; Liao, Jia‐Feng; Pan, Hui-Lan; Tang, Chun-Lei

doi:10.5802/crmath.294

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2023

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Cited by 2 publications

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“…Because the Kirchhoff-type equation has a wide range of applications in many fields, such as it models several physical and biological systems, it has been widely considered in the last two decades by using variational methods, see [1][2][3][4][5][6][7][8][9][10][11] and references therein. We just introduce several results closely related to Equation (1) here.…”

Section: Introductionmentioning

confidence: 99%

On Kirchhoff-Type Equations with Hardy Potential and Berestycki–Lions Conditions

Yang

Liu

2023

Mathematics

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The purpose of this paper is to investigate the existence and asymptotic properties of solutions to a Kirchhoff-type equation with Hardy potential and Berestycki–Lions conditions. Firstly, we show that the equation has a positive radial ground-state solution uλ by using the Pohozaev manifold. Secondly, we prove that the solution uλn, up to a subsequence, converges to a radial ground-state solution of the corresponding limiting equations as λn→0−. Finally, we provide a brief summary.

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