一类传送带问题解的存在性  

Existence of Solutions for a Transmission Belt Problem

作　　者：鲁雄[1] 王跃 LU Xiong;WANG Yue(Department of Basic Education,Guiyang Vocational and Technical College,Guiyang 550081,China;School of Mathematics and Statistics,Guizhou University,Guiyang 550025,China)

机构地区：[1]贵阳职业技术学院基础教育部,贵阳550081 [2]贵州大学数学与统计学院,贵阳550025

出　　处：《西南大学学报（自然科学版）》2022年第2期96-102,共7页Journal of Southwest University(Natural Science Edition)

基　　金：贵州省研究生基金项目(黔教合YJSCXJH(2020)083);国家自然科学基金项目(11861021).

摘　　要：本文通过变分法考虑了一类带有异号源和反作用力的传送带问题,利用Ekeland变分原理和分析技巧获得了此类问题正解的存在性.特别地,当反向作用力的正系统足够小时,该问题存在至少3个非平凡解.In this study,a class problems of transmission belt with different signal sources and reaction force was considered by using the variational method.Based on the Ekeland's variational principle and analytical techniques,the existence of global positive solution was obtained.In particularly,there are at least three nontrivial solutions to this problem when the positive system of the reverse force is small enough.

关 键 词：变分方法 传送带问题 异号源 EKELAND变分原理 

分 类 号：O177.9[理学—数学]