Perimeter on fractal sets

DOI10.1007/BF02568263zbMath0727.28004OpenAlexW2052058783MaRDI QIDQ803306

Andrea Braides, Piero D'Ancona

Publication date: 1991

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155626

zbMATH Keywords

Hausdorff measureKoch curvefractal setfinite perimetersnowflake\(\Gamma \) -limitlower semicontinuous functional

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (1)

Fractal relaxed Dirichlet problems

Cites Work

• Functionals defined on partitions in sets of finite perimeter. I: Integral representation and Gamma-convergence
• Functionals defined on partitions in sets of finite perimeter. II: Semicontinuity, relaxation and homogenization
• Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity
• Generalized coarea formula and fractal sets
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Perimeter on fractal sets