Concentration Compactness: Functional-Analytic Theory of Concentration Phenomena
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Concentration compactness methods are applied to PDE's that lack compactness properties, typically due to the scaling invariance of the underlying problem. This monograph presents a systematic functional-analytic presentation of concentration mechanisms and is by far the most extensive and systematic collection of mathematical tools for analyzing the convergence of functional sequences via the mechanism of concentration. A comprehensive monograph on the state of the art of concentration compactness techniques Summary of the last ten years of research on the topic An authoritative overview of many deep results in modern functional analysis
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