摘要
在全空间上考虑一类含有临界指数的非局部新Kirchhoff型问题,利用分析技巧和特殊函数研究其古典解的存在性,获得无穷多古典正解的同时结合相关例子给出解的表达式,推广并丰富了已有的结果。
Consider a class of nonlocal new Kirchhoff-type problems with critical exponents on whole space.The existence of classical solutions is studied by using the analytical techniques and method of special functions,and combining with some examples,infinitely many classical positive solutions and their expressions are given.Some known results of literatures are expanded and enriched.
作者
王跃
周荧
索洪敏
韦维
WANG Yue;ZHOU Ying;SUO Hongmin;WEI Wei(School of Mathematics and Statistics,Guizhou University,Guiyang 550025,China;School of Data Science and Information Engineering,Guizhou Minzu University,Guiyang 550025,China;School of Mathematics and Big Data,Guizhou Education University,Guiyang 550018,China)
出处
《成都理工大学学报（自然科学版）》
CAS
CSCD
北大核心
2020年第2期245-248,共4页
Journal of Chengdu University of Technology: Science & Technology Edition
基金
国家自然科学基金项目(700617121113,11761021,11661021,11861021)
贵州省教育厅科研基金项目(黔教合KY字[2016]163号,黔教合KY字[2016]029号,黔科合基础[2019]1163号)。
关键词
临界指数
非局部问题
古典解
无穷多解
critical exponent
nonlocal problem
classical solution
infinitely many solutions
