Acta mathematica scientia,Series B ›› 1995, Vol. 15 ›› Issue (S1): 16-31.

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A MINIMIZATION PROBLEM ON RN WITH NONZERO DATA

Yan Shusen1, Zhang Zhengjie2   

  1. 1. Dept. of Appl. Math., South China University of Technology, Guangzhou 510641, China;
    2. Wuhan Iust. of Math. Sci., Academia Sinica, Wuhan 430071, China
  • Received:1992-03-17 Online:1995-12-31 Published:1995-12-31
  • Supported by:
    Supported by Youth Fundation NSFC.

Abstract: We first establish a general framework to study a minimization problem on RN with nonzero data. Then, we use this framework to solve the eigenvalue problem associated with this minimization problem. And finally, we check the crucial strict inequality S1 in the general framework for a topical case.

Key words: Concentration compactness, Unbounded domain

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