期刊论文

Cao, Dao-min

英文

应用数学学报：英文版

0168-9673

2008

24

3

497-510

10.1007/s10255-008-8051-8

Manuscript received March 27, 2008. Supported by the National Natural Science Foundation of China (No.10631030). The first author was also supported by Science Fund for Creative Research Groups of Natural Science Foundation of China (No.10721101) and Chinese Academy of Sciences grant KJCX3-SYW-S03. The second author was also supported by Program for New Century Excellent Talents in University (No.07-0350), the Key Project of Chinese Ministry of Education (No.107081) and the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry.

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By variational methods, for a kind of Yamabe problem whose scalar curvature vanishes in the unit ball BN and on the boundary SN-1 the mean curvature is prescribed, we construct multi-peak solutions whose maxima are located on the boundary as the parameter tends to 0+ under certain assumptions. We also obtain the asymptotic behaviors of the solutions. © 2008 Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chi...

By variational methods,for a kind of Yamabe problem whose scalar curvature vanishes in the unit ball BN and on the boundary SN-1the mean curvature is prescribed,we construct multi-peak solutions whose maxima are located on the boundary as the parameter tends to 0+ under certain assumptions.We also obtain the asy...