Book contents
- Frontmatter
- Contents
- Preface
- Notation
- PART I RADON MEASURES ON ℝn
- 1 Outer measures
- 2 Borel and Radon measures
- 3 Hausdorff measures
- 4 Radon measures and continuous functions
- 5 Differentiation of Radon measures
- 6 Two further applications of differentiation theory
- 7 Lipschitz functions
- 8 Area formula
- 9 Gauss–Green theorem
- 10 Rectifiable sets and blow-ups of Radon measures
- 11 Tangential differentiability and the area formula
- PART II SETS OF FINITE PERIMETER
- PART III REGULARITY THEORY AND ANALYSIS OF SINGULARITIES
- PART IV MINIMIZING CLUSTERS
- References
- Index
2 - Borel and Radon measures
Published online by Cambridge University Press: 05 October 2012
- Frontmatter
- Contents
- Preface
- Notation
- PART I RADON MEASURES ON ℝn
- 1 Outer measures
- 2 Borel and Radon measures
- 3 Hausdorff measures
- 4 Radon measures and continuous functions
- 5 Differentiation of Radon measures
- 6 Two further applications of differentiation theory
- 7 Lipschitz functions
- 8 Area formula
- 9 Gauss–Green theorem
- 10 Rectifiable sets and blow-ups of Radon measures
- 11 Tangential differentiability and the area formula
- PART II SETS OF FINITE PERIMETER
- PART III REGULARITY THEORY AND ANALYSIS OF SINGULARITIES
- PART IV MINIMIZING CLUSTERS
- References
- Index
- Type
- Chapter
- Information
- Sets of Finite Perimeter and Geometric Variational ProblemsAn Introduction to Geometric Measure Theory, pp. 14 - 23Publisher: Cambridge University PressPrint publication year: 2012