2015/04/17 by Lawrence C. Evans, Ronald Gariepy · 650 citations
Mathematics · Medicine · #Mathematical Dynamics and Fractals #Measure (data warehouse) #Calculus (dental) #Mathematics #Computer science #Data mining #Medicine
paper · doi:10.1201/b18333
openalex publication_date 2015/04/17 · openalex created_date 2018/09/07 · openalex updated_date 2026/08/02
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.