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math.AP2015
Plateau's Problem: What's Next
Jenny Harrison, Harrison Pugh
Plateau's problem is not a single conjecture or theorem, but rather an abstract framework, encompassing a number of different problems in several related areas of mathematics. In i…
math.AP2015★ 5 cited
Solutions to the Reifenberg Plateau problem with cohomological spanning conditions
J. Harrison, H. Pugh
We prove existence and regularity of minimizers for Hölder densities over general surfaces of arbitrary dimension and codimension in \(\R^n \), satisfying a cohomological boundary…