Solutions for the Prescribing Mean Curvature Equation

作     者：Dao-min Cao Shuang-jie Peng 

作者机构：Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190 China School of Mathematics and Statistics Central China Normal University Wuhan 430079 China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2008年第24卷第3期

页      面：497-510页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：the National Natural Science Foundation of China(No.10631030) Science Fund for Creative Research Groups of Natural Science Foundation of China(No.10721101) Chinese Academy of Sciences grant KJCX3-SYW-S03 Program for New Century Excellent Talents in University(No.07-0350) the Key Project of Chinese Ministry of Education(No.107081) the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State Education Ministry 

主　　题：Mean curvature critical point concentrating solutions 

摘      要：By variational methods, for a kind of Yamabe problem whose scalar curvature vanishes in the unit ball BN and on the boundary S^N-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.