Concentration Compactness Functional-Analytic Theory of Concentration Phenomena

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 syst...

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Bibliographic Details
Main Author: Tintarev, Cyril
Format: eBook
Language:English
Published: Berlin, Boston De Gruyter 2020, ©2020
Series:De Gruyter Series in Nonlinear Analysis and Applications
Subjects:
Online Access:
Collection: DeGruyter MPG Collection - Collection details see MPG.ReNa
Description
Summary: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
Physical Description:XI 216 Seiten
ISBN:978-3-11-053243-2
978-3-11-053058-2