The concentration-compactness principle in the calculus of variations. The locally compact case

  title={The concentration-compactness principle in the calculus of variations. The locally compact case},
  author={Pierre-Louis Lions},
  • P. Lions
  • Published 1 July 1984
  • Mathematics

An improvement on the concentration-compactness principle

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

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Abstract Concentration Compactness and Elliptic Equations on Unbounded Domains

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Existence and non-existence results for semilinear elliptic problems in unbounded domains

  • M. EstebanP. Lions
  • Mathematics, Philosophy
    Proceedings of the Royal Society of Edinburgh: Section A Mathematics
  • 1982
Synopsis In this paper, we prove various existence and non-existence results for semilinear elliptic problems in unbounded domains. In particular we prove for general classes of unbounded domains

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