Construction of solutions for the polyharmonic equation via local Pohozaev identities
文献类型：期刊论文
| 作者 | Guo, Yuxia2; Liu, Ting2; Nie, Jianjun1 |
| 刊名 | CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2019-08-01 |
| 卷号 | 58期号:4页码:33 |
| ISSN号 | 0944-2669 |
| DOI | 10.1007/s00526-019-1569-1 |
| 英文摘要 | We consider the following problem involving critical exponent and polyharmonic operator: (-Delta)(m)u + V(vertical bar y'vertical bar, y '')u = u(m*-1), u > 0, u is an element of D-m,D-2 (R-N), where m* = 2N/N-2m, N >= 4m + 1, m is an element of N+, (y', y '') is an element of R-2 x RN-2 and V(vertical bar y'vertical bar , vertical bar y ''vertical bar) is a bounded non-negative function in R+ x RN-2. By using a finite reduction argument and local Pohozaev type identities, we will show that if N >= 4m + 1 and r(2m)V(r, y '') has a stable critical point (r(0), y(0)''), then the above problem has infinitely many solutions, whose energy can be arbitrarily large. |
| 资助项目 | NSFC[11771235] ; NSFC[11801545] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000474383500003 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/35184]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Guo, Yuxia |
| 作者单位 | 1.Chinese Acad Sci, Inst Math Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Tsinghua Univ, Dept Math Sci, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Guo, Yuxia,Liu, Ting,Nie, Jianjun. Construction of solutions for the polyharmonic equation via local Pohozaev identities[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2019,58(4):33. |
| APA | Guo, Yuxia,Liu, Ting,&Nie, Jianjun.(2019).Construction of solutions for the polyharmonic equation via local Pohozaev identities.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,58(4),33. |
| MLA | Guo, Yuxia,et al."Construction of solutions for the polyharmonic equation via local Pohozaev identities".CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 58.4(2019):33. |
入库方式： OAI收割
来源：数学与系统科学研究院
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