拟线性Choquard方程的无穷多变号解  

Infinitely Many Sign-changing Solutions for a Quasilinear Choquard Equation

作　　者：杨璐 刘祥清[1] YANG Lu;LIU Xiangqing(School of Mathematics,Yunnan Normal University,Kunming 650500,China)

机构地区：[1]云南师范大学数学学院,云南昆明650500

出　　处：《应用数学》2022年第4期807-818,共12页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11761082)。

摘　　要：本文研究次临界拟线性Choquard方程无穷多变号解的存在性的问题.利用扰动法和下降流不变集方法,证明了次临界拟线性Choquard方程无穷多变号解的存在性.In this paper,by using the methods of perturbation and invariant sets of descending flow,we obtain the existence of infinitely many sign-changing solutions of a subcritical quasilinear Choquard equation in R^(N).

关 键 词：次临界拟线性Choquard方程 扰动法 变号解 

分 类 号：O175.29[理学—数学]