# ePub Inequalities for Differential Forms download

# by Shusen Ding,Craig Nolder,Ravi P. Agarwal

During the recent years, differential forms have played an important role in many fields. This monograph is the first one to systematically present a series of local and global estimates and inequalities for differential forms.

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.

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

Inequalities for Differential Forms. Chapter · August 2009 with 18 Reads.

Inequalities for Differential Forms. Cite this publication. Texas A&M University - Kingsville. In recent years, some important results have been widely used in PDEs, potential theory, nonlinear elasticity theory, and so forth; see1234567 for details.

by Ravi P. Agarwal, Craig Nolder, Shusen Ding. 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.

Описание: Uses differential forms to study local and global aspects of the differential geometry of surfaces

Описание: Uses differential forms to study local and global aspects of the differential geometry of surfaces. This book introduces differentiable manifolds and presents Stokes& theorem. Here, the authors take the unique approach of investigating differential inequalities rather than equations, the reason being that the simplest way to study an equation is often to study a corresponding inequality; for example, using sub and superharmonic functions to study harmonic functions. Another unusual feature of the present book is that it is based on integral representation formulae and nonlinear potentials, which have not been widely investigated so far.

oceedings{iesFD, title {Inequalities for Differential Forms}, author {Ravi P. Agarwal and Shusen Ding and C. A. Nolder}, year {2008} }. Ravi P. Agarwal, Shusen Ding, C. Nolder. Hardy-Littlewood Inequalities. Norm Comparison Theorems. Poincare-type inequalities. Caccioppoli Inequalities. Authors: Agarwal, Ravi . Ding, Shusen, Nolder, Craig. Provides extensions of one dimensional results in real space and the application of these results in different geometric structures on differentiable manifolds. Well-written documentation of up-to-date advances on the subject. by Ravi P. Agarwal, Shusen Ding, Craig Nolder. ISBN 9780387360348 (978-0-387-36034-8) Hardcover, Springer, 2009. Find signed collectible books: 'Inequalities for Differential Forms'.

This monograph is the first one to systematically present a series of local and global estimates and inequalities for differential forms, in particular the ones that satisfy the A-harmonic equations. The presentation focuses 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 discussed next. 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 presentation 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.

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