带有小扰动的对数型 Kirchhoff方程解的存在性

doi:10.12677/PM.2023.133067

期刊菜单

带有小扰动的对数型 Kirchhoff方程解的存在性
Existence of Solutions to Logarithmic Kirchhoff Equation with a Small Perturbation

DOI: 10.12677/PM.2023.133067, PDF, HTML,
作者: 汤婧：上海理工大学理学院，上海
关键词: Kirchhof 方程；对数非线性项；小扰动；Kirchhoff Equations； Logarithmic Nonlinearity； Small Perturbation

摘要: 讨论一类带有小扰动的对数型 Kichho 方程解的存在性和多重性问题。对扰动项函数提出合适的条件，运用变分方法和山路定理，在参数较小的情况下，分别得到方程解的存在性和多解性结果。

Abstract: This paper considers the existence and multiplicity of solutions for logarithmic Kirchhoff equations with a small perturbation. Under some appropriate conditions for perturbation, using constrained variational method and Mountain Pass Theorem, the existence and multiplicity of solutions are obtained respectively when parameter small enough.

文章引用：汤婧. 带有小扰动的对数型 Kirchhoff方程解的存在性[J]. 理论数学, 2023, 13(3): 625-635. https://doi.org/10.12677/PM.2023.133067

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