KMS Of Academy of mathematics and systems sciences, CAS
Construction of solutions for the polyharmonic equation via local Pohozaev identities | |
Guo, Yuxia1; Liu, Ting1; Nie, Jianjun2 | |
2019-08-01 | |
Source Publication | CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS |
ISSN | 0944-2669 |
Volume | 58Issue:4Pages:33 |
Abstract | 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. |
DOI | 10.1007/s00526-019-1569-1 |
Language | 英语 |
Funding Project | NSFC[11771235] ; NSFC[11801545] |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:000474383500003 |
Publisher | SPRINGER HEIDELBERG |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/35185 |
Collection | 中国科学院数学与系统科学研究院 |
Affiliation | 1.Tsinghua Univ, Dept Math Sci, Beijing, Peoples R China 2.Chinese Acad Sci, Inst Math Acad Math & Syst Sci, Beijing 100190, Peoples R China |
Recommended Citation 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. |
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