Generalized coarea formula and fractal sets

From MaRDI portal
Publication:1175657

DOI10.1007/BF03167679zbMath0736.49030MaRDI QIDQ1175657

Augusto Visintin

Publication date: 25 June 1992

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)




Related Items (30)

The 0-fractional perimeter between fractional perimeters and Riesz potentialsConvergence of level sets in fractional Laplacian regularizationFrom graph cuts to isoperimetric inequalities: convergence rates of Cheeger cuts on data cloudsFractional perimeters from a fractal perspectivePlanelike interfaces in long-range Ising models and connections with nonlocal minimal surfacesThe isoperimetric problem for nonlocal perimetersNonlocal isoperimetric inequalities for Kolmogorov-Fokker-Planck operatorsNonlocal quantitative isoperimetric inequalitiesBoundary continuity of nonlocal minimal surfaces in domains with singularities and a problem posed by Borthagaray, Li, and NochettoCrystallinity of the Homogenized Energy Density of Periodic Lattice SystemsOn the asymptotic behaviour of nonlocal perimetersGamma-convergence of nonlocal perimeter functionalsIsoperimetric problems for a nonlocal perimeter of Minkowski typeThe Cheeger problem in abstract measure spacesA fractional Michael-Simon Sobolev inequality on convex hypersurfacesUnnamed ItemContinuous limits of discrete perimetersA Convex Decomposition Formula for the Mumford-Shah Functional in Dimension OneVolume constrained minimizers of the fractional perimeter with a potential energyIsoperimetry and stability properties of balls with respect to nonlocal energiesCharacterizations to the fractional Sobolev inequalityA duality theory for non-convex problems in the calculus of variationsA non local approximation of the Gaussian perimeter: gamma convergence and isoperimetric propertiesA fractional isoperimetric problem in the Wiener spaceA fractional notion of length and an associated nonlocal curvatureUnnamed ItemHalfspaces minimise nonlocal perimeter: a proof via calibrationsLocal minimizers and gamma-convergence for nonlocal perimeters in Carnot groupsNonlocal perimeter, curvature and minimal surfaces for measurable setsPerimeter on fractal sets



Cites Work


This page was built for publication: Generalized coarea formula and fractal sets