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Local uniqueness and periodicity induced by concentration

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成果类型:
期刊论文
作者:
Guo, Yuxia*;Peng, Shuangjie(彭双阶);Yan, Shusen
通讯作者:
Guo, Yuxia(彭双阶
作者机构:
[Guo, Yuxia] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China.
[Peng, Shuangjie] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
[Peng, Shuangjie] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China.
[Yan, Shusen] Univ New England, Dept Math, Armidale, NSW 2351, Australia.
通讯机构:
[Guo, Yuxia] T
Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China.
语种:
英文
关键词:
35J91 (primary);35B33 (secondary)
期刊:
Proceedings of the London Mathematical Society
ISSN:
0024-6115
年:
2017
卷:
114
期:
6
页码:
1005-1043
基金类别:
Y. Guo is supported by NSFC (11331010,11571040). S. Peng is supported by NSFC (11571130), and a leadership program for talented scientists in Hubei Province, China. S. Yan is partially supported by ARC (DP130102773) and NSFC (11629101).
机构署名:
本校为其他机构
院系归属:
数学与统计学学院
摘要:
We consider poly-harmonic equations with critical exponents. Under some conditions on the coefficient K(y) in the equations near its critical points, we prove the existence and local uniqueness of solutions with infinitely many bubbles. The local uniqueness result implies that some bubbling solutions preserve the symmetry of the scalar curvature K(y). Moreover, we also show that the cond...

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