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Field name	Details
Dewey Class	516.36
Title	Inequalities for Differential Forms ([Ebook]) / by Ravi P. Agarwal, Shusen Ding, Craig Nolder.
Author	Agarwal, Ravi P.
Added Personal Name	Ding, Shusen
Added Personal Name	Nolder, Craig
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer , 2009.
Physical Details	: online resource.
ISBN	9780387684178
Summary Note	During the recent years, differential forms have played an important role in many fields. In particular, the 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 differential forms. The presentation concentrates on the Hardy-Littlewood, Poincare, Cacciooli, imbedded and reverse Holder inequalities. Integral estimates for operators, such as homotopy operator, the Laplace-Beltrami operator, and the gradient operator are also covered. 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 rigorous text requires a familiarity with topics such as differential forms, topology and Sobolev space theory. It 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.:
Contents note	Hardy-Littlewood Inequalities -- Norm Comparison Theorems -- PoincarÃ©-type inequalities -- Caccioppoli Inequalities -- Imbedding Theorems -- Reverse Holder Inequalities -- Inequalities for Operators -- Estimates for Jacobians -- Lipschitz and BMO norms -- References -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-0-387-68417-8
Links to Related Works	Subject References: Analysis . Differential equations, Partial . Differential Geometry . Global analysis (Mathematics) . Global differential geometry . Integral transforms . Integral Transforms, Operational Calculus . Operator Theory . Partial differential equations . Authors: Agarwal, Ravi P. . author . Ding, Shusen . Nolder, Craig . Corporate Authors: SpringerLink (Online service) . Classification: 516.36 . 516.36 (DDC 23) .

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Inequalities for Differential Forms

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