21 citations · 37 across the 15 of their papers we have counts for
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math.AP2016
General Methods of Elliptic Minimization
Jenny Harrison, Harrison Pugh
We provide new general methods in the calculus of variations for the anisotropic Plateau problem in arbitrary dimension and codimension. A new direct proof of Almgren's 1968 existe…
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…