Energy-minimizing maps into trees have, near every frequency-3/2 point, free interfaces composed of three C^{1,α} surfaces meeting at 120 degrees along a C^{1,α} (d-2)-dimensional boundary.
Alper , On the singular set of free interface in an optimal partition problem, Commun
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Structure of the free interfaces near triple junction singularities in harmonic maps and optimal partition problems
Energy-minimizing maps into trees have, near every frequency-3/2 point, free interfaces composed of three C^{1,α} surfaces meeting at 120 degrees along a C^{1,α} (d-2)-dimensional boundary.