| 临界问题在全空间上的无穷多解 |
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| 引用本文： | 朱道宇,王跃,储昌木,熊宗洪.临界问题在全空间上的无穷多解[J].西南师范大学学报(自然科学版),2020,45(4):21-24. |
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| 作者姓名： | 朱道宇 王跃 储昌木 熊宗洪 |
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| 作者单位： | 1. 贵州民族大学 数据科学与信息工程学院, 贵阳 550025;2. 贵州大学 数学与统计学院, 贵阳 550025 |
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| 基金项目： | 国家自然科学基金项目（11861021，11661021）；贵州省教育厅基金项目（黔教合KY字[2016]029）. |
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| 摘 要： | 研究了全空间上一类临界增长的非局部问题古典解的存在性,通过特殊函数法,给出该问题无穷多古典正解的表达式,推广并丰富了已有文献的结果.
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| 关 键 词： | 临界增长 非局部问题 特殊函数法 无穷多解 |
| 收稿时间： | 2019/6/10 0:00:00 |
Infinitely Many Solutions for Critical Problem on Whole Space |
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| ZHU Dao-yu,WANG Yue,CHU Chang-mu,XIONG Zong-hong.Infinitely Many Solutions for Critical Problem on Whole Space[J].Journal of Southwest China Normal University(Natural Science),2020,45(4):21-24. |
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| Authors: | ZHU Dao-yu WANG Yue CHU Chang-mu XIONG Zong-hong |
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| Institution: | 1. School of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, China;2. School of Mathematics and Statistics, Guizhou University, Guiyang 550025, China |
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| Abstract: | The existence of classical solutions for a class of nonlocal problems with critical growth is studied on whole space, and the expressions of infinitely many classical positive solutions are given by using the method of special function. Some known results of literatures are expanded and enriched. |
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| Keywords: | critical growth nonlocal problem method of special function infinitely many solutions |
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