Sets of Finite Perimeter and Geometric Variational Problems An Introduction to Geometric Measure Theory
Book contents
- Frontmatter
- Contents
- Preface
- Notation
- PART I RADON MEASURES ON ℝn
- PART II SETS OF FINITE PERIMETER
- 12 Sets of finite perimeter and the Direct Method
- 13 The coarea formula and the approximation theorem
- 14 The Euclidean isoperimetric problem
- 15 Reduced boundary and De Giorgi's structure theorem
- 16 Federer's theorem and comparison sets
- 17 First and second variation of perimeter
- 18 Slicing boundaries of sets of finite perimeter
- 19 Equilibrium shapes of liquids and sessile drops
- 20 Anisotropic surface energies
- PART III REGULARITY THEORY AND ANALYSIS OF SINGULARITIES
- PART IV MINIMIZING CLUSTERS
- References
- Index
18 - Slicing boundaries of sets of finite perimeter
Published online by Cambridge University Press: 05 October 2012
Book contents
- Frontmatter
- Contents
- Preface
- Notation
- PART I RADON MEASURES ON ℝn
- PART II SETS OF FINITE PERIMETER
- 12 Sets of finite perimeter and the Direct Method
- 13 The coarea formula and the approximation theorem
- 14 The Euclidean isoperimetric problem
- 15 Reduced boundary and De Giorgi's structure theorem
- 16 Federer's theorem and comparison sets
- 17 First and second variation of perimeter
- 18 Slicing boundaries of sets of finite perimeter
- 19 Equilibrium shapes of liquids and sessile drops
- 20 Anisotropic surface energies
- 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. 215 - 228Publisher: Cambridge University PressPrint publication year: 2012