4.5 Article

Some Remarks on Profile Decomposition Theorems

Journal

ADVANCED NONLINEAR STUDIES
Volume 16, Issue 4, Pages 795-805

Publisher

WALTER DE GRUYTER GMBH
DOI: 10.1515/ans-2015-5049

Keywords

Concentration-Compactness; Profile Decompositions; Multiscale Analysis

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In this paperwe present, in the case of Sobolev spaces, some concentration-compactness theorems, nowadays known as profile decomposition theorems, which imply the most known results in literature, clarifying the connections between the different versions.

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