3 papers
math.AP2026
Complete Rigidity at infinity and Existence of the Levinson Cavity
Yan Li, Sitan Lin, Georg S. Weiss +1
We present a potential theoretic approach reducing the analysis of the asymptotic shape of free surfaces to the analysis of a precise ordinary differential equation resulting from…
math.AP2025
A min-max variational approach to the existence of gravity water waves
Dennis Kriventsov, Georg S. Weiss
We establish the existence of gravity water waves by applying a mountain pass theorem to a singular perturbation of the Alt-Caffarelli functional associated with the two-dimensiona…
math.AP2023
Rectifiability, finite Hausdorff measure, and compactness for non-minimizing Bernoulli free boundaries
Dennis Kriventsov, Georg S. Weiss
While there are numerous results on minimizers or stable solutions of the Bernoulli problem proving regularity of the free boundary and analyzing singularities, much less in known…