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...