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math.AP2020
One-phase free-boundary problems with degeneracy
Sean McCurdy
In this paper, we study local minimizers of a degenerate version of the Alt-Caffarelli functional. Specifically, we consider local minimizers of the functional $J_{Q}(u, Ω):= \int_…
math.CA2020
Quantitative Stability for the Heisenberg-Pauli-Weyl inequality
Sean McCurdy, Raghavendra Venkatraman
We prove a quantitative stability result for the Heisenberg-Pauli-Weyl inequality. This yields next and next-to-next order correction terms, sharpening the inequality in all dimens…
math.CA2020
Subsets of rectifiable curves in Banach spaces I: sharp exponents in traveling salesman theorems
Matthew Badger, Sean McCurdy
The Analyst's Traveling Salesman Problem is to find a characterization of subsets of rectifiable curves in a metric space. This problem was introduced and solved in the plane by Jo…