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math.AP2022★ 1 cited
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…
math.AP2019
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…
math.AP2018
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…