Acta mathematica scientia,Series B ›› 2014, Vol. 34 ›› Issue (5): 1495-1509.doi: 10.1016/S0252-9602(14)60099-0

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MULTIPLE NONTRIVIAL SOLUTIONS FOR A CLASS OF SEMILINEAR POLYHARMONIC EQUATIONS

 SHANG Yue-Yun, WANG Li*   

  1. Department of Mathematics, Huazhong Normal University, Wuhan 430074, China;Department of Mathematics, South-Central University for Nationalities, Wuhan 430074, China; School of Basic Science, East China Jiaotong University, Nanchang 330013, China
  • Received:2013-04-03 Revised:2013-11-22 Online:2014-09-20 Published:2014-09-20
  • Contact: WANG Li,wangli.423@163.com E-mail:shangyueyun1980@163.com;wangli.423@163.com
  • Supported by:

    This work was supported by the National Natural Science Foundation of China (11326139, 11326145), Tian Yuan Foundation (KJLD12067), Central Specialized Fundation of SCUEC (CZQ13013), and the Project of Jiangxi Province Technology Hall (2014BAB211010).

Key words: nontrivial solutions, polyharmonic problems, critical exponents, variational methods

CLC Number: 

  • 35B33
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