摘要
在全空间上考虑一类临界增长的非局部Kirchhoff问题,通过各种分析技巧并结合特殊函数研究古典解的存在性,给出该问题无穷多古典正解的表达式,补充并丰富了已有的成果.
A class of nonlocal Kirchhoff problems with critical growth is studied on whole space in this paper.The existence of classical solutions is studied and the expressions of infinitely many classical positive solutions are given by using the method of special functions and some various analytical techniques,and some known results of literatures are expanded and enriched.
作者
王跃
索洪敏
熊宗洪
魏其萍
WANG Yue;SUO Hongmin;XIONG Zonghong;WEI Qiping(School of Mathematics and Statistics,Guizhou University,Guiyang 550025,China;School of Data Science and Information Engineering,Guizhou Minzu University,Guiyang 550025,China)
出处
《扬州大学学报（自然科学版）》
CAS
北大核心
2020年第5期19-22,共4页
Journal of Yangzhou University：Natural Science Edition
基金
国家自然科学基金资助项目(11661021,11861021)
贵州省教育厅基金资助项目(黔教合KY字[2016]029号,黔教合KY字[2016]163号)
贵州省科技厅基金资助项目(黔科合基础[2019]1163号).
关键词
临界增长
非局部问题
特殊函数法
无穷多解
critical growth
nonlocal problem
method of special function
infinitely many solutions
