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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
DOI10.1007/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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