On the existence of mass minimizing rectifiable \(G\) chains in finite dimensional normed spaces
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Publication:6043803
DOI10.5802/aif.3550zbMath1521.53053arXiv1812.04520OpenAlexW2904777555MaRDI QIDQ6043803
Ioann Vasilyev, Thierry De Pauw
Publication date: 24 May 2023
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.04520
Methods involving semicontinuity and convergence; relaxation (49J45) Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume, other geometric measure theory (28A75) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Integral geometry (53C65)
Cites Work
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- Approximation by polyhedral \(G\) chains in Banach spaces
- Some basic theorems on flat \(G\) chains
- Integral geometric measure in separable Banach space
- Size-minimizing rectifiable currents
- Size minimization and approximating problems
- The deformation theorem for flat chains
- On the Busemann area in Minkowski spaces
- Rectifiability of flat chains
- Gaussian images of surfaces and ellipticity of surface area functionals
- Interior regularity of optimal transport paths
- Existence of least-energy configurations of immiscible fluids
- Minimality of planes in normed spaces
- Normal and integral currents
- Intrinsic area
- Rectifiable and flat <i>G</i> chains in a metric space
- Size minimizing surfaces
- Rectifiable Metric Spaces: Local Structure and Regularity of the Hausdorff Measure
- Compactness results for normal currents and the Plateau problem in dual Banach spaces
- Flat Chains Over a Finite Coefficient Group
- A Theorem on Convex Bodies of the Brunn-Minkowski Type
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