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

作　　者：徐武波 蔡亚情 

机构地区：[1]湖南工业大学理学院,湖南 株洲

出　　处：《理论数学》2024年第8期60-67,共8页Pure Mathematics

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。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.

关 键 词：Kirchhoff-Choquard方程 对数非线性项 非平凡解 山路引理 

分 类 号：O17[理学—数学]