On the phase connectedness of the volume-constrained area minimizing partitioning problem

DOI10.1007/s12220-017-9963-4zbMath1501.53077arXiv1711.07743OpenAlexW3099816362MaRDI QIDQ1711057

A. C. Faliagas

Publication date: 16 January 2019

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.07743

zbMATH Keywords

second variationvolume constraintstriple junctionphase coexistencearea minimizerphase connectedness

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Optimization of shapes other than minimal surfaces (49Q10)

Cites Work

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• The structure of singularities in area-related variational problems with constraints
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• Flat Chains Over a Finite Coefficient Group

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