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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язык английский ● Формат PDF ● страницы 313 ● ISBN 9781482242393 ● издатель CRC Press ● опубликованный 2015 ● Загружаемые 3 раз ● валюта EUR ● Код товара 7124669 ● Защита от копирования Adobe DRM
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