Existence and asymptotic behaviour of ground state solutions for Kirchhoff-type equations with vanishing potentials
文献类型：期刊论文
| 作者 | Sun, Dongdong1; Zhang, Zhitao2,3
|
| 刊名 | ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
 |
| 出版日期 | 2019-02-01 |
| 卷号 | 70期号:1页码:18 |
| 关键词 | Kirchhoff-type problems Vanishing potentials Schrodinger equation Ground state solution Asymptotic behaviour |
| ISSN号 | 0044-2275 |
| DOI | 10.1007/s00033-019-1082-6 |
| 英文摘要 | In this paper, we investigate and obtain the existence and asymptotic behaviour of the positive ground state solutions to Kirchhoff-type equations with vanishing potentials: {-(epsilon(2)a + epsilon b integral(R3)vertical bar del v vertical bar(2))Delta u + V(x)v = v(p) in R-3,R- v > 0, v is an element of H-1(R-3), where epsilon > 0 is a small parameter, a, b > 0 are constants, 3 < p < 5. The potential V can vanish, i.e. Z := {x is an element of R-3 vertical bar V (x) = 0} = empty set. |
| 资助项目 | National Natural Science Foundation of China[11771428] ; National Natural Science Foundation of China[11688101] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000456785100001 |
| 出版者 | SPRINGER INTERNATIONAL PUBLISHING AG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/32201]  |
| 专题 | 数学所 |
| 通讯作者 | Sun, Dongdong |
| 作者单位 | 1.Qilu Normal Univ, Sch Math, Jinan 250013, Shandong, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Sun, Dongdong,Zhang, Zhitao. Existence and asymptotic behaviour of ground state solutions for Kirchhoff-type equations with vanishing potentials[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,2019,70(1):18. |
| APA | Sun, Dongdong,&Zhang, Zhitao.(2019).Existence and asymptotic behaviour of ground state solutions for Kirchhoff-type equations with vanishing potentials.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,70(1),18. |
| MLA | Sun, Dongdong,et al."Existence and asymptotic behaviour of ground state solutions for Kirchhoff-type equations with vanishing potentials".ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 70.1(2019):18. |
入库方式： OAI收割
来源：数学与系统科学研究院
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