4 citations · 4 across the 2 of their papers we have counts for
4 papers
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\}}…
Radon measures and Lipschitz graphs
Matthew Badger, Lisa Naples
For all , we investigate the interaction of locally finite measures in with the family of -dimensional Lipschitz graphs. For instance, we charact…
Rectifiability of pointwise doubling measures in Hilbert Space
Lisa Naples
In geometric measure theory, there is interest in studying the interaction of measures with rectifiable sets. Here, we extend a theorem of Badger and Schul in Euclidean space to ch…
Hölder curves and parameterizations in the Analyst's Traveling Salesman theorem
Matthew Badger, Lisa Naples, Vyron Vellis
We investigate the geometry of sets in Euclidean and infinite-dimensional Hilbert spaces. We establish sufficient conditions that ensure a set of points is contained in the image o…