Surfaces minimizing area plus length of singular curves

Morgan, Frank

doi:10.1090/S0002-9939-1994-1231039-1

Surfaces minimizing area plus length of singular curves
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by Frank Morgan

Proc. Amer. Math. Soc. 122 (1994), 1153-1161

DOI: https://doi.org/10.1090/S0002-9939-1994-1231039-1

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Abstract:

We give the first existence and regularity results on surfaces minimizing area plus length of singular curves, as in energy-minimizing interfaces in materials.

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