一类超临界增长的Schrödinger-Poisson系统正解存在性  

Existence of Positive Solutions for a Class of Schrödinger-Poisson Systems with Supercritical Growth

作　　者：何鹏飞 索洪敏[3] HE Peng-fei;SUO Hong-min(School of Mathematics Science,Guizhou Normal University,Guiyang 550025,China;School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guiyang 550025,China;School of Data Science and Information Engineering,Guizhou Minzu University,Guiyang 550025,China)

机构地区：[1]贵州师范大学数学科学学院,贵阳550025 [2]贵州财经大学数学与统计学院,贵阳550025 [3]贵州民族大学数据科学与信息工程学院,贵阳550025

出　　处：《西南师范大学学报（自然科学版）》2021年第1期144-147,共4页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11661021).

摘　　要：利用山路引理和变分法研究了一类超临界增长的Schrödinger-Poisson系统正解存在性结果.By using mountain pass theorem and variational method,the existence of positive solutions for a class of Schrödinger-Poisson systems with supercritical growth has been proved.

关 键 词：Schrödinger-Poisson系统 山路引理 变分法 

分 类 号：O177.91[理学—基础数学]