1 citations · 4 across the 15 of their papers we have counts for
16 papers
On Neumann -Laplacian Lane-Emden equations and their asymptotic relationship with relative isoperimetric problems
Sean McCurdy, Alberto Saldaña, Delia Schiera
We consider a family of pure Neumann -Laplacian problems, including eigenvalue problems, Lane-Emden type equations, and extremal cases such as sign nonlinearities and the -La…
Quantitative Estimates on the Topology and Singular Set of Prescribed Mean Curvature Hypersurfaces
Nicolau S. Aiex, Sean McCurdy, Paul Minter
We establish quantitative topological and singularity properties for (certain) prescribed mean curvature (PMC) hypersurfaces in Riemannian manifolds . Indeed, if…
Chatting Up Attachment: Using LLMs to Predict Adult Bonds
Paulo Soares, Sean McCurdy, Andrew J. Gerber +1
Obtaining data in the medical field is challenging, making the adoption of AI technology within the space slow and high-risk. We evaluate whether we can overcome this obstacle with…
Critical Allard regularity: pointwise tilt-excess estimates
Sean McCurdy
The main results of this paper provide VMO-type estimates for the quadratic tilt-excess on varifolds with critical generalized mean curvature. These estimates apply to varifolds wi…
Structure of measures for which Ehrhard symmetrization is perimeter non-increasing
Sean McCurdy, Kuan-Ting Yeh
In this paper, we prove that isotropic Gaussian functions are \textit{characterized} by a rearrangement inequality for weighted perimeter in dimensions within the class…
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\}}…
Conditions for Eliminating Cusps in One-Phase Free Boundary Problems with Degeneracy
Sean McCurdy
In this paper, we continue the study local minimizers of a degenerate version of the Alt-Caffarelli functional. Specifically, we consider local minimizers of the functional $J_{Q}(…
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_…
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…
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…
Unique Continuation on Convex Domains
Sean McCurdy
In this paper, we obtain estimates on the quantitative strata of the critical set of non-trivial harmonic functions which vanish continuously on , a relat…
Wild examples of rectifiable sets
Max Goering, Sean McCurdy
We study the geometry of sets based on the behavior of the Jones function, . We construct two examples of countably -r…
The Singular Strata of a Free-Boundary problem for harmonic measure
Sean McCurdy
In this paper, we obtain \textit{quantitative} estimates on the fine structure of the singular set of the mutual boundary for pairs of complementary domains, $Ω^…