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Inequalities for Differential Forms Summary:By Ravi P. Agarwal, Shusen Ding, Craig Nolder
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. Please select one mirror to download
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Sponsored LinksInequalities for Differential Forms Keywordsdifferential inequalities operator forms equations fields estimates analysis specific lipschitz classes orlicz carnot spaces bmo topics gradient laplace beltrami presented courses differential forms nonlinear differential differential geometry differential equations global estimates cacciooli imbedded poincaré cacciooli hardy littlewood poincaré analysis differential quasiconformal analysisInequalities for Differential Forms download copyrightThis site does not store Inequalities for Differential Forms on its server. We only index and link to Inequalities for Differential Forms provided by other sites. Please contact the content providers to delete Inequalities for Differential Forms if any and email us, we'll remove relevant links or contents immediately. |
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