On the continuity of functionals defined on partitions

DOI10.1515/ACV-2016-0061zbMath1401.49065arXiv1612.01781OpenAlexW2952659498MaRDI QIDQ1791517

Matthias Ruf

Publication date: 10 October 2018

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.01781

zbMATH Keywords

continuityfinite partitionssurface energies

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75)

Related Items (4)

Continuum limit and stochastic homogenization of discrete ferromagnetic thin films ⋮ Lower semicontinuity for functionals defined on piecewise rigid functions and on \(GSBD\) ⋮ Functionals defined on piecewise rigid functions: integral representation and \(\Gamma \)-convergence ⋮ Coarse graining and large-\(N\) behavior of the \(d\)-dimensional \(N\)-clock model

Cites Work

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• Interfaces, modulated phases and textures in lattice systems
• Density of polyhedral partitions
• Minimal interface criterion for phase transitions in mixtures of Cahn- Hilliard fluids
• 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
• Weak convergence of completely additive vector functions on a set
• Simple proofs of some results of Reshetnyak
• STRICTLY CONTINUOUS EXTENSION OF FUNCTIONALS WITH LINEAR GROWTH TO THE SPACE BV
• Strict convergence and minimal liftings in BV

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