1 citations · 1 across the 2 of their papers we have counts for
4 papers
Epsilon regularity under scalar curvature and entropy lower bounds and volume upper bounds
Robin Neumayer
Examples show that Riemannian manifolds with almost-Euclidean lower bounds on scalar curvature and Perelman entropy need not be close to Euclidean space in any metric space sense.…
Rectifiability and uniqueness of blow-ups for points with positive Alt-Caffarelli-Friedman limit
Mark Allen, Dennis Kriventsov, Robin Neumayer
We study the regularity of the interface between the disjoint supports of a pair of nonnegative subharmonic functions. The portion of the interface where the Alt-Caffarelli-Friedma…
A note on strong-form stability for the Sobolev inequality
Robin Neumayer
In this note, we establish a strong form of the quantitive Sobolev inequality in Euclidean space for . Given any function , the gap i…
Anisotropic liquid drop models
Rustum Choksi, Robin Neumayer, Ihsan Topaloglu
We introduce and study certain variants of Gamow's liquid drop model in which an anisotropic surface energy replaces the perimeter. After existence and nonexistence results are est…