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  • A Global Compactness type r...
    Palatucci, Giampiero; Pisante, Adriano

    Nonlinear analysis, 04/2015, Letnik: 117
    Journal Article

    We extend the global compactness result by Struwe (1984) to any fractional Sobolev spaces  Ḣs(Ω), for  0<s<N/2 and Ω⊂RN a bounded domain with smooth boundary. The proof is a simple direct consequence of the so-called profile decomposition of Gérard (1998).