| 全空间上一类Kirchhoff型问题正基态解的存在性 |
| |
| 引用本文： | 吴燕林,钱晓涛.全空间上一类Kirchhoff型问题正基态解的存在性[J].延边大学理工学报,2021,0(1):17-20. |
| |
| 作者姓名： | 吴燕林 钱晓涛 |
| |
| 作者单位： | ( 阳光学院 基础教研部, 福建 福州 350015 ) |
| |
| 摘 要： | 在全空间上应用Nehari流形和集中紧性原理研究了如下一类Kirchhoff型问题:{ -(a+b∫R</sup>N|SymbolQC@u|2dx)Δu+u=Q(x)|u|p -2u, x∈RN; u∈H1(RN), u>0, x∈RN,并证明了该问题至少存在一个正基态解.该结果补充了文献1-4]关于正基态解的存在性结果.
|
| 关 键 词： | Kirchhoff问题 正基态解 变分方法 Nehari流形 集中紧性原理 |
Existence of ground state positive solution for a class of Kirchhoff type problem on unbounded domain |
| |
| WU Yanlin,QIAN Xiaotao.Existence of ground state positive solution for a class of Kirchhoff type problem on unbounded domain[J].Journal of Yanbian University (Natural Science),2021,0(1):17-20. |
| |
| Authors: | WU Yanlin QIAN Xiaotao |
| |
| Affiliation: | (Department of Basic Teaching and Research, Yango University, Fuzhou 350015, China) |
| |
| Abstract: | We study the following class of Kirchhoff type problem on unbounded domain { -(a+b∫R</sup>N|SymbolQC@u|2dx)Δu+u=Q(x)|u|p -2u, x∈RN; u∈H1(RN), u>0, x∈RN, and prove the existence of at least one ground state positive solution by using Nehari manifold and concentration compact principle. The result can be seen as a supplement of literature 1-4] concerning the existence of ground state positive solution. |
| |
| Keywords: | Kirchhoff problem ground state positive solution variational method Nehari manifold concentration compact principle |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《延边大学理工学报》浏览原始摘要信息 |
|
点击此处可从《延边大学理工学报》下载全文 |
