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AN IMPROVEMENT ON THE CONCENTRATION-COMPACTNESS PRINCIPLE

AN IMPROVEMENT ON THE CONCENTRATION-COMPACTNESS PRINCIPLE
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摘要 In this paper we first improve the concentration- compactness lemma by proving that the vanishing case is a special case of dichotomy, then we apply this improved concentration- compactness lemma to a typical restrcted minimization problem, and get some new results. In this paper we first improve the concentration- compactness lemma by proving that the vanishing case is a special case of dichotomy, then we apply this improved concentration- compactness lemma to a typical restrcted minimization problem, and get some new results.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2001年第1期60-67,共8页 应用数学学报(英文版)
基金 Supported by the National Natural Science Foundation of China (No.19871030, 19771039) and Natural Science Foundation of Guangd
关键词 Concentration-compactness lemma minimization problem G-invariant function Concentration-compactness lemma, minimization problem, G-invariant function
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参考文献4

  • 1杨健夫,朱熹平.ON THE EXISTENCE OF NONTRIVIAL SOLUTION OF A QUASILINEAR ELLIPTIC BOUNDARY VALUE PROBLEM FOR UNBOUNDED DOMAINS (Ⅰ) Positive Mass Case[J].Acta Mathematica Scientia.1987(03)
  • 2Lions PL.The concentrated-compactness principle in the calculus of variations. The locally compact case, part I[].Annales de l’Institut Henri Poincare - Analyse non lineaire.1984
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