一类带不定位势Kirchoff方程解的存在性
Multiplicity Results for a Kirchhoff Type Equations with General Potential
DOI: 10.12677/PM.2023.139254, PDF,   
作者: 陈林松：贵州师范大学数学科学学院，贵州 贵阳
关键词: PS条件；Morse指数；Kirchhoff方程；变分方法；Palais-Smale Condition； Morse Index； Kirchhoff Type Equation； Variational Methods
摘要: 本文主要研究R3中一类带不定位势Kirchhoff方程解的存在性，在关于V的一些假设条件和一般的谱假设下，利用变分方法，得到问题解的存在性结果。
Abstract: In this article, we study a Kirchhoff type equation in R3 with the potential indefinite in sign. Under certain hypotheses on V and general spectral assumption, we obtain the multiplicity results for this problem via variational methods.
文章引用：陈林松. 一类带不定位势Kirchoff方程解的存在性[J]. 理论数学, 2023, 13(9): 2478-2484. https://doi.org/10.12677/PM.2023.139254

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