Concentration Compactness: Functional-Analytic Grounds and Applications

Concentration Compactness: Functional-Analytic Grounds and Applications

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Concentration compactness is an important method in mathematical analysis which has been widely used in mathematical research for two decades. This unique volume fulfills the need for a sourcebook that usefully combines a concise formulation of the method, a range of important applications, and background material concerning manifolds, non-compact transformations and functional spaces. Highlighting the role in functional analysis of invariance and, in particular, of non-compact transformation groups, the book uses the same building blocks, such as partitions of domain and partitions of range, ...