1 citations · 4 across the 15 of their papers we have counts for
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Quantitative Estimates on the Singular Set of Minimal Hypersurfaces with Bounded Index
Nicolau S. Aiex, Sean McCurdy, Paul Minter
We prove local measure bounds on the tubular neighbourhood of the singular set of codimension one stationary integral -varifolds in Riemannian manifolds which have both: (i)…
Subsets of rectifiable curves in Banach spaces II: universal estimates for almost flat arcs
Matthew Badger, Sean McCurdy
We prove that in any Banach space the set of windows in which a rectifiable curve resembles two or more straight line segments is quantitatively small with constants that are indep…
Non-existence of cusps for a Free-boundary Problem for Water Waves
Sean McCurdy
In arXiv:0908.1031, Varvaruca and Weiss eliminate the existence of cusps for a free-boundary problem for two-dimensional water waves under assumptions that hold for solutions such…
Non-existence of cusps for degenerate Alt-Caffarelli functionals
Sean McCurdy, Lisa Naples
We eliminate the existence of cusps in a class of \textit{degenerate} free-boundary problems for the Alt-Caffarelli functional $J_{Q}(v, Ω):= \int_Ω|\nabla v|^2 + Q^2(x)χ_{\{v>0\}}…