18 citations · 63 across the 18 of their papers we have counts for
21 papers
A Note on Moving Frames along Sobolev Maps and the Regularity of Weakly Harmonic Maps
Luigi Appolloni, Ben Sharp
The purpose of this note is twofold. First we show that, for weakly differentiable maps between Riemannian manifolds of any dimension, a smallness condition on a Morrey-norm of the…
Index estimates for constant mean curvature surfaces in three-manifolds by energy comparison
Luca Seemungal, Ben Sharp
We prove a linear upper bound on the Morse index of closed constant mean curvature (CMC) surfaces in orientable three-manifolds in terms of genus, number of branch points and a Wil…
Low-energy -harmonic maps into the round sphere
Ben Sharp
We classify low-energy -harmonic maps from a closed non-spherical Riemannian surface of constant curvature to the round sphere via their bubble scales and centres. In partic…
Self-conjugate -core partitions and applications
Madeline Locus Dawsey, Benjamin Sharp
Partition theory abounds with bijections between different types of partitions. One of the most famous partition bijections maps each self-conjugate partition of a positive integer…
CMC hypersurfaces with bounded Morse index
Theodora Bourni, Ben Sharp, Giuseppe Tinaglia
We develop a bubble-compactness theory for embedded CMC hypersurfaces with bounded index and area inside closed Riemannian manifolds in low dimensions. In particular we show that c…
Łojasiewicz inequalities near simple bubble trees
Andrea Malchiodi, Melanie Rupflin, Ben Sharp
In this paper we prove a gap phenomenon for critical points of the -functional on closed non-spherical surfaces when is constant, and in this setting furthermore prove that…