This book emphasizes the roles of Hausdorff measure and the capacity in characterizing the fine properties of sets and functions. The book covers theorems and differentiation in Rn , Hausdorff measures, area and coarea formulas for Lipschitz mappings and related change-of-variable formulas, and Sobolev functions and functions of bounded variation. This second edition includes countless improvements in notation, format, and clarity of exposition. Also new are several sections describing the p- theorem, weak compactness criteria in L1, and Young measure methods for weak convergence. In addition, the bibliography has been updated.
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Language English ● Format PDF ● Pages 313 ● ISBN 9781482242393 ● Publisher CRC Press ● Published 2015 ● Downloadable 3 times ● Currency EUR ● ID 7124669 ● Copy protection Adobe DRM
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