1 citations · 4 across the 15 of their papers we have counts for
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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…
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_…
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…
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^…