Showing math.APShow all
2 papers · 1 filter
math.AP2026
Nodal Deficiency of Neumann Eigenfunctions on a Symmetric Dumbbell Domain
Thomas Beck, Andrew Lyons
We study the nodal deficiency of pairs of Neumann eigenfunctions defined over symmetric dumbbell domains. As the width of the connecting neck shrinks, these eigenfunctions converge…
math.AP2024
Two-phase problems: Perron solutions and regularity of the Neumann problem in convex cones
Thomas Beck, Daniela De Silva, Ovidiu Savin
We investigate a fully nonlinear two-phase free boundary problem with a Neumann boundary condition on the boundary of a general convex set with corners. We…