Concentration Compactness

Functional-analytic Grounds And Applications

By: Kyril Tintarev, Karl-heinz Fieseler

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Paperback | 11 January 2007

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276 Pages

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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.

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The book is very well written, the arguments are complete and many illustrative examples are given. It can be helpful to all: beginners as well as advanced researchers who want to deepen their knowledge and develop correct intuition about the topic discussed. -- Mathematical Reviews "Mathematical Reviews"

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You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Functional Analysis & Transforms Differential Calculus & Equations Booktopia Publisher Services World Scientific Publishing Groups & Group Theory

Functional spaces and convergence	p. 1
Sobolev spaces	p. 29
Weak convergence decomposition	p. 59
Concentration compactness with Euclidean shifts	p. 83
Concentration compactness with dilations	p. 109
Minimax problems	p. 141
Differentiable manifolds	p. 161
Riemannian manifolds and Lie groups	p. 181
Sobolev spaces on manifolds and subelliptic problems	p. 203
Further applications	p. 231
Covering lemma	p. 247
Rearrangement inequalities	p. 249
Maximum principle	p. 251
Table of Contents provided by Blackwell. All Rights Reserved.

Concentration Compactness

Functional-analytic Grounds And Applications

At a Glance

Paperback

Industry Reviews

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