18 citations · 94 across the 33 of their papers we have counts for
35 papers
Bartnik Mass of CMC surfaces under a Spectral non-negativity condition
Albert Chau, Luke Kuo Han
Let be a smooth Riemannian metric and a positive function on . We prove that the Bartnik mass of the triple is bounded above by $\sqrt{|\…
A note on Ricci flow from small curvature concentration and a Morrey-type condition
Albert Chau, Adam Martens
In \cite{ChauMartens} the authors proved the long-time existence of Ricci flow starting from complete bounded curvature Riemannian manifolds with scale-invariant integral curvature…
Pseudolocality and completeness for nonnegative Ricci curvature limits of 3D singular Ricci flows
Albert Chau, Adam Martens
Lai (2021) used singular Ricci flows, introduced by Kleiner and Lott (2017), to construct a nonnegative Ricci curvature Ricci flow emerging from an arbitrary 3D complete non…
Instantaneous convexity breaking for the quasi-static droplet model
Albert Chau, Ben Weinkove
We consider a well-known quasi-static model for the shape of a liquid droplet. The solution can be described in terms of time-evolving domains in . We give an example…
Concavity of solutions to semilinear equations in dimension two
Albert Chau, Ben Weinkove
We consider the Dirichlet problem for a class of semilinear equations on two dimensional convex domains. We give a sufficient condition for the solution to be concave. Our conditio…
On the Bartnik mass of non-negatively curved CMC spheres
Albert Chau, Adam Martens
Let be a smooth Riemannian metric on and a constant. We establish an upper bound for the corresponding Bartnik mass ass…