54 citations · 157 across the 23 of their papers we have counts for
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Existence of monotone Morse flow lines of the expander functional
Jacob Bernstein, Letian Chen, Lu Wang
Given a smooth asymptotically conical self-expander that is strictly unstable we construct a (singular) Morse flow line of the expander functional that connects it to a stable self…
Lower Bounds on Density for Topologically Nontrivial Minimal Cones up to Dimension Six
Jacob Bernstein, Lu Wang
We prove lower bounds on the density of regular minimal cones of dimension less than seven provided the complements of the cones are topologically nontrivial.
Closed hypersurfaces of low entropy in are isotopically trivial
Jacob Bernstein, Lu Wang
We show that any closed connected hypersurface in with entropy less than or equal to that of the round cylinder is smoothly isotopic to the standard three-sphere.
A mountain-pass theorem for asymptotically conical self-expanders
Jacob Bernstein, Lu Wang
We develop a min-max theory for asymptotically conical self-expanders of mean curvature flow. In particular, we show that given two distinct strictly stable self-expanders that are…
Relative expander entropy in the presence of a two-sided obstacle and applications
Jacob Bernstein, Lu Wang
We study a notion of relative entropy motivated by self-expanders of mean curvature flow. In particular, we obtain the existence of this quantity for arbitrary hypersurfaces trappe…
Topological Uniqueness for Self-expanders of Small Entropy
Jacob Bernstein, Lu Wang
For a fixed regular cone in Euclidean space with small entropy we show that all smooth self-expanding solutions of the mean curvature flow that are asymptotic to the cone are in th…