JournalsaihpcVol. 1, No. 4pp. 223–283

The concentration-compactness principle in the Calculus of Variations. The Locally compact case, part 2

  • P.L. Lions

    CEREMADE, Université Paris IX-Dauphine, Place de-Lattre-de-Tassigny, 75775 Cedex 16 Paris
The concentration-compactness principle in the Calculus of Variations. The Locally compact case, part 2 cover
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Abstract

In this paper (sequel of Part 1) we investigate further applications of the concentration-compactness principle to the solution of various minimization problems in unbounded domains. In particular we present here the solution of minimization problems associated with nonlinear field equations.

Résumé

Dans cette deuxième partie, nous examinons de nouvelles applications du principe de concentration-compacité à la résolution dedivers problèmes de minimization dans des ouverts non bornés. En particulier nous résolvons des problèmes de minimisation associés aux équations de champ non linéaires.

Cite this article

P.L. Lions, The concentration-compactness principle in the Calculus of Variations. The Locally compact case, part 2. Ann. Inst. H. Poincaré Anal. Non Linéaire 1 (1984), no. 4, pp. 223–283

DOI 10.1016/S0294-1449(16)30422-X