Infinitely Many Solutions to a Class of p-Laplace Equations

作     者：Yi-Hua DENG Yi-Hua DENG

作者机构：College of Mathematics and Statistics Hengyang Normal University 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2019年第35卷第4期

页      面：770-779页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by Hunan Provincial Natural Science Foundation of China(14JJ2120) partly supported by Application-oriented Special Disciplines,Double First-Class University Project of Hunan Province(Xiangjiaotong469) Hunan provincial key laboratory of intelligent information processing and application(2016TP1020) 

主　　题：p-Laplace equation variational methods infinitely many solutions nonnegative solution 

摘      要：In this paper, we study a class of p-Laplace equations. Using variational methods, we prove that there are two solutions and one of these solutions is nonnegative. Using recurrence method, we prove that there are infinitely many solutions to this class of equations.