Ravi P. Agarwal & Shusen Ding 
Inequalities for Differential Forms [PDF ebook] 

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Differential forms satisfying the A-harmonic equations have found wide applications in fields such as general relativity, theory of elasticity, quasiconformal analysis, differential geometry, and nonlinear differential equations in domains on manifolds.

This monograph is the first one to systematically present a series of local and global estimates and inequalities for such differential forms in particular. It concentrates on the Hardy-Littlewood, Poincaré, Cacciooli, imbedded and reverse Holder inequalities. Integral estimates for operators, such as homotopy operator, the Laplace-Beltrami operator, and the gradient operator are also presented. Additionally, some related topics such as BMO inequalities, Lipschitz classes, Orlicz spaces and inequalities in Carnot groups are discussed in the concluding chapter. An abundance of bibliographical references and historical material supplement the text throughout.

This book will serve as an invaluable reference for researchers, instructors and graduate students in analysis and partial differential equations and could be used as additional material for specific courses in these fields.

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Table of Content

Hardy#x2013;Littlewood inequalities.- Norm comparison theorems.- Poincar#x00E9;-type inequalities.- Caccioppoli inequalities.- Imbedding theorems.- Reverse H#x00F6;lder inequalities.- Inequalities for operators.- Estimates for Jacobians.- Lipschitz and norms.

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Language English ● Format PDF ● Pages 388 ● ISBN 9780387684178 ● File size 3.0 MB ● Publisher Springer New York ● City NY ● Country US ● Published 2009 ● Downloadable 24 months ● Currency EUR ● ID 2145375 ● Copy protection Social DRM

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