一类含有对数项的Kirchhoff-Choquard方程解的存在性
Existence of Solutions to the Kirchhoff-Choquard Equation with Logarithmic Term
摘要: 本文研究了一类具有对数非线性的Kirchhoff-Choquard方程解的存在性。利用经典山路引理，证明了相应的能量泛函具有山路结构，且满足PS条件，从而方程至少存在一个非平凡解。
Abstract: In this article, the existence of solutions to a Kirchhoff-Choquard equation with logarithmic nonlinearities is studied. By using the classical mountain pass lemma, we proved that the energy functional of the problem has a mountain pass structure and satisfies the PS condition, so the studies problem admits at least a nontrivial solution.
文章引用：徐武波, 蔡亚情. 一类含有对数项的Kirchhoff-Choquard方程解的存在性[J]. 理论数学, 2024, 14(8): 60-67. https://doi.org/10.12677/pm.2024.148304

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