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Concentration Compactness

Functional-analytic Grounds And Applications

Concentration Compactness by Kyril Tintarev
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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 source book that usefully combines a concise formulation of the method, a range of important applications to variational problems, and background material concerning manifolds, non-compact transformation groups 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, relative to transformation groups, in the proofs of energy inequalities and in the weak convergence lemmas.

World Scientific Publishing Company; January 2007
279 pages; ISBN 9781908979797
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Title: Concentration Compactness
Author: Kyril Tintarev; Karl-Heinz Fieseler