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Describing lack of compactness in Sobolev spaces

Abstract : We review the concentration-compactness method and the profile decomposition in Sobolev spaces, which allow to describe the possible lack of compactness of sequences in these spaces.
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Submitted on : Thursday, February 6, 2020 - 5:51:35 PM
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  • HAL Id : hal-02450559, version 3

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Mathieu Lewin. Describing lack of compactness in Sobolev spaces. Master. Variational Methods in Quantum Mechanics, France. 2010. ⟨hal-02450559v3⟩

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